Quantum mechanics of classically non-integrable systems

[1]  U. Smilansky,et al.  Ionization of excited hydrogen atoms by microwave fields: a test case for quantum chaos , 1989 .

[2]  H. Büttner,et al.  Quantum Chaos in a Nonlinear Oscillator with Three Degrees of Freedom , 1987 .

[3]  C. Grosche,et al.  Path integrals on curved manifolds , 1987 .

[4]  Giulio Casati,et al.  Relevance of classical chaos in quantum mechanics: The hydrogen atom in a monochromatic field , 1987 .

[5]  F. Haake,et al.  Classical and quantum chaos for a kicked top , 1987 .

[6]  E. Pollak,et al.  An analysis of normal and local mode dynamics based on periodic orbits. I. Symmetric ABA triatomic molecules , 1987 .

[7]  Friedrich,et al.  Correspondence of unstable periodic orbits and quasi-Landau modulations. , 1987, Physical review. A, General physics.

[8]  Smilansky,et al.  Localization of Floquet states in the rf excitation of Rydberg atoms. , 1987, Physical review letters.

[9]  J. Leopold,et al.  The effect of a combined static and microwave field on an excited hydrogen atom , 1987 .

[10]  M. Robnik.  A note on the level spacings distribution of the Hamiltonians in the transition region between integrability and chaos , 1987 .

[11]  B. Helffer,et al.  Ergodicité et limite semi-classique , 1987 .

[12]  U. Smilansky,et al.  Microwave ionization of highly excited hydrogen atoms , 1987 .

[13]  R. Jensen.  Effects of Classical Resonances on the Chaotic Microwave Ionization of Highly Excited Hydrogen Atoms , 1987 .

[14]  J. Delos,et al.  Effect of closed classical orbits on quantum spectra: Ionization of atoms in a magnetic field. , 1987, Physical review letters.

[15]  F. Steiner.  On Selberg's zeta function for compact Riemann surfaces , 1987 .

[16]  J. Verbaarschot,et al.  Long-range stiffness of spectral fluctuations in integrable scale-invariant systems , 1987 .

[17]  Wintgen,et al.  Connection between long-range correlations in quantum spectra and classical periodic orbits. , 1987, Physical review letters.

[18]  Aharonov,et al.  Phase change during a cyclic quantum evolution. , 1987, Physical review letters.

[19]  I. Percival,et al.  Arithmetical properties of strongly chaotic motions , 1987 .

[20]  Thierry Paul,et al.  The Schrödinger equation and canonical perturbation theory , 1987 .

[21]  F. Haake,et al.  Symmetry versus degree of level repulsion for kicked quantum systems , 1987 .

[22]  N. Ganoulis.  Quantum Toda systems and Lax pairs , 1987 .

[23]  N. Balazs,et al.  Spectral fluctuations and zeta functions , 1987 .

[24]  M. Wilkinson.  Narrowly avoided crossings , 1987 .

[25]  Graham,et al.  Period doubling in dissipative quantum systems. , 1987, Physical review letters.

[26]  H. Meyer,et al.  Energy Level Statistics of Coupled Oscillators , 1987 .

[27]  Friedrich,et al.  Classical and quantum-mechanical transition between regularity and irregularity in a Hamiltonian system. , 1987, Physical review. A, General physics.

[28]  Heller.  Quantum localization and the rate of exploration of phase space. , 1987, Physical review. A, General physics.

[29]  Geyer,et al.  Rydberg atoms in uniform magnetic fields: Uncovering the transition from regularity to irregularity in a quantum system. , 1986, Physical review letters.

[30]  J. Rubner,et al.  Kolmogorov-Arnol'd-Moser barriers in the quantum dynamics of chaotic systems. , 1986, Physical review letters.

[31]  Levine,et al.  Transition-strength fluctuations and the onset of chaotic motion. , 1986, Physical review letters.

[32]  J. Main,et al.  New quasi-Landau structure of highly excited atoms: The hydrogen atom. , 1986, Physical review letters.

[33]  R. Graham,et al.  Quantization of the kicked rotator with dissipation , 1986 .

[34]  N. Balazs,et al.  Chaos on the pseudosphere , 1986 .

[35]  E. B. Bogomol'nyĭ.  Fine structure of the wave functions of quantum systems , 1986 .

[36]  B. Eckhardt.  Birkhoff-Gustavson normal form in classical and quantum mechanics , 1986 .

[37]  Gay,et al.  Quantum chaos and statistical properties of energy levels: Numerical study of the hydrogen atom in a magnetic field. , 1986, Physical review letters.

[38]  B. Grammaticos,et al.  Quantum Chaos with Nonergodic Hamiltonians , 1986 .

[39]  Shepelyansky,et al.  New photoelectric ionization peak in the hydrogen atom. , 1986, Physical review letters.

[40]  Friedrich,et al.  Regularity and irregularity in spectra of the magnetized hydrogen atom. , 1986, Physical review letters.

[41]  B. Eckhardt.  Exact eigenfunctions for a quantised map , 1986 .

[42]  Shi,et al.  Evolution and exact eigenstates of a resonant quantum system. , 1986, Physical review. A, General physics.

[43]  D. W. Noid,et al.  Bound state semiclassical wave functions , 1986 .

[44]  H. Mikeska,et al.  Levelstatistics and stochasticity in a driven quantum system , 1986 .

[45]  Kin’ya Takahashi.  Chaos and Time Development of Quantum Wave Packet in Husimi Representation , 1986 .

[46]  R. Littlejohn.  The semiclassical evolution of wave packets , 1986 .

[47]  J. Leopold,et al.  The effect of a resonant electric field on a classical hydrogen atom , 1986 .

[48]  Michael V Berry,et al.  Statistics of energy levels without time-reversal symmetry: Aharonov-Bohm chaotic billiards , 1986 .

[49]  M. Berry,et al.  False time-reversal violation and energy level statistics: the role of anti-unitary symmetry , 1986 .

[50]  Kin’ya Takahashi.  Wigner and Husimi Functions in Quantum Mechanics , 1986 .

[51]  C. Woo.  Quantum field theory and algorithmic complexity , 1986 .

[52]  Sundaram,et al.  Quantum dynamics for driven weakly bound electrons near the threshold for classical chaos. , 1986, Physical review letters.

[53]  B. Eckhardt.  Maslov-WKB theory for supersymmetric hamiltonians , 1986 .

[54]  C. E. Wayne.  Bounds on the trajectories of a system of weakly coupled rotators , 1986 .

[55]  U. Smilansky,et al.  Excitation of molecular rotation by periodic microwave pulses. A testing ground for Anderson localization , 1986 .

[56]  D. Shepelyansky,et al.  Localization of quasienergy eigenfunctions in action space. , 1986, Physical review letters.

[57]  Izrailev.  Limiting quasienergy statistics for simple quantum systems. , 1986, Physical review letters.

[58]  R. Seiler,et al.  Generic properties of quantum Hall hamiltonians for finite systems , 1986 .

[59]  M. Razavy.  Level spacing associated with a classically degenerate motion , 1985 .

[60]  Ott,et al.  Markov-Tree model of intrinsic transport in Hamiltonian systems. , 1985, Physical review letters.

[61]  I. C. Percival,et al.  Converse KAM: Theory and practice , 1985 .

[62]  Klein,et al.  Is there a consistent theory of large-amplitude collective motion? , 1985, Physical review letters.

[63]  Rath,et al.  Microwave ionization of hydrogen atoms: Experiment vs classical dynamics. , 1985, Physical review letters.

[64]  S. T. Ali.  Stochastic localization, quantum mechanics on phase space and quantum space-time , 1985 .

[65]  J. Helton,et al.  On classical and quantal Kolmogorov entropies , 1985 .

[66]  K. Lehmann,et al.  Microwave detected, microwave–optical double resonance spectra of NO2: A test of Hardwick’s ergodicity conjecture , 1985 .

[67]  G. Benettin,et al.  Classical perturbation theory for systems of weakly coupled rotators , 1985 .

[68]  M. K. Ali.  The quantum normal form and its equivalents , 1985 .

[69]  J. Verbaarschot,et al.  Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaos , 1985 .

[70]  Satija,et al.  Evidence for a new period-doubling sequence in four-dimensional symplectic maps. , 1985, Physical review. A, General physics.

[71]  D. Goroff.  Hyperbolic sets for twist maps , 1985, Ergodic Theory and Dynamical Systems.

[72]  J. Sokoloff.  Unusual band structure, wave functions and electrical conductance in crystals with incommensurate periodic potentials , 1985 .

[73]  Smilansky,et al.  Ionization of surface-state electrons by microwave fields: Quantum treatment. , 1985, Physical review. A, General physics.

[74]  Y. C. Verdière,et al.  Ergodicité et fonctions propres du laplacien , 1985 .

[75]  J. Leopold,et al.  The effect of a resonant electric field on a one-dimensional classical hydrogen atom , 1985 .

[76]  J. Verbaarschot,et al.  Fluctuations of quantum spectra and their semiclassical limit in the transition between order and chaos , 1985 .

[77]  Takahashi,et al.  Chaos and Husimi distribution function in quantum mechanics. , 1985, Physical review letters.

[78]  Farmer,et al.  Fat fractals on the energy surface. , 1985, Physical review letters.

[79]  M. Berry,et al.  Semiclassical theory of spectral rigidity , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[80]  Libchaber,et al.  Fixed winding number and the quasiperiodic route to chaos in a convective fluid. , 1985, Physical review letters.

[81]  Shi,et al.  Time evolution and eigenstates of a quantum iterative system. , 1985, Physical review letters.

[82]  J. L. Kinsey,et al.  Evidence of quantum ergodicity in stimulated emission pumping spectra of acetylene , 1985 .

[83]  Sundaram,et al.  Microwave absorption by hydrogen atoms in high Rydberg states. , 1985, Physical review. A, General physics.

[84]  Matsushita,et al.  Statistical properties of the quantized energy spectrum of a Hamiltonian system with classically regular and chaotic trajectories: A numerical study of level-spacing distributions for two-dimensional coupled Morse-oscillator systems. , 1985, Physical review. A, General physics.

[85]  J. Bladel,et al.  Electromagnetic Fields , 1985 .

[86]  B. Kupershmidt.  Quantum mechanics as an integrable system , 1985 .

[87]  Prangé,et al.  Statistics of quasi-energy separations in chaotic systems. , 1985, Physical review. B, Condensed matter.

[88]  Jensen Rv.  Stochastic ionization of electrically polarized, hydrogen Rydberg atoms. , 1985 .

[89]  Taylor,et al.  Born-Oppenheimer adiabatic mechanism for regularity of states in the quantum stadium billiard. , 1985, Physical review. A, General physics.

[90]  James D. Meiss,et al.  Algebraic decay in self-similar Markov chains , 1985 .

[91]  D. Escande.  Stochasticity in classical Hamiltonian systems: Universal aspects , 1985 .

[92]  Jensen,et al.  Statistical behavior in deterministic quantum systems with few degrees of freedom. , 1985, Physical review letters.

[93]  Yukawa.  New approach to the statistical properties of energy levels. , 1985, Physical review letters.

[94]  Pandey,et al.  Higher-order correlations in spectra of complex systems. , 1985, Physical review letters.

[95]  Ishikawa,et al.  Transition from regular to irregular spectra in quantum billiards. , 1985, Physical review letters.

[96]  J. Verbaarschot,et al.  Quantum spectra of classically chaotic systems without time reversal invariance , 1985 .

[97]  V. Krainov,et al.  Atoms in Strong Light Fields , 1985 .

[98]  B. Chirikov.  AN EXAMPLE OF CHAOTIC EIGENSTATES IN A COMPLEX ATOM , 1985 .

[99]  Heslot,et al.  Quantum mechanics as a classical theory. , 1985, Physical review. D, Particles and fields.

[100]  Seiler,et al.  Non-ergodicity in classical electrodynamics. , 1985, Physical review. A, General physics.

[101]  J. Helton,et al.  On the classical support of quantum mechanical wavefunctions , 1985 .

[102]  R. Graham.  Global and local dissipation in a quantum map , 1985 .

[103]  H. Mikeska,et al.  On the dynamics of a quantum system which is classically chaotic , 1985 .

[104]  Philip Nelson,et al.  Hamiltonian interpretation of anomalies , 1985 .

[105]  M. Lieberman,et al.  A theory of modulational diffusion , 1985 .

[106]  L. A. Pinnaduwage,et al.  Microwave multiphoton n-decreasing transitions in electrically polarised, highly excited hydrogen atoms , 1985 .

[107]  Stuart A. Rice,et al.  Wave packet evolution in isolated pyrazine molecules: Coherence triumphs over chaos , 1985 .

[108]  Pinnaduwage,et al.  Diffusionlike aspects of multiphoton absorption in electrically polarized highly excited hydrogen atoms. , 1985, Physical review letters.

[109]  B. Chirikov,et al.  Quantum Limitations for Chaotic Excitation of the Hydrogen Atom in a Monochromatic Field , 1984 .

[110]  E. Heller,et al.  Semiclassical spectral quantization: Application to two and four coupled molecular degrees of freedom , 1984 .

[111]  T. Antonsen,et al.  Effect of noise on time-dependent quantum chaos , 1984 .

[112]  B. A. Brown,et al.  Gaussian distributions of shell-model eigenvector components , 1984 .

[113]  R. Graham.  Wigner Distribution of the Quantized Lorenz Model , 1984 .

[114]  G. Savvidy.  Classical and quantum mechanics of non-abelian gauge fields , 1984 .

[115]  R. Rammal,et al.  Experimental fine tuning of the frustration: Two-dimensional superconducting network in a magnetic field , 1984 .

[116]  D. Khmelnitskii.  Localization and coherent scattering of electrons , 1984 .

[117]  Dima L. Shepelyansky,et al.  CORRELATION PROPERTIES OF DYNAMICAL CHAOS IN HAMILTONIAN SYSTEMS , 1984 .

[118]  Joseph Ford,et al.  Analytically solvable dynamical systems which are not integrable , 1984 .

[119]  Oriol Bohigas,et al.  Spectral properties of the Laplacian and random matrix theories , 1984 .

[120]  M. Shapiro,et al.  Onset of chaos in an isolated energy eigenstate , 1984 .

[121]  H. Meyer,et al.  CORRIGENDUM: On the connection between irregular trajectories and the distribution of quantum level spacings , 1984 .

[122]  Eric J. Heller,et al.  Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits , 1984 .

[123]  W. Miller.  Calculation of semiclassical eigenvalues with one arbitrary trajectory , 1984 .

[124]  J. Elgin,et al.  Elgin and Sarkar Respond , 1984 .

[125]  R. Graham.  Comment on "Quantum Fluctuations and the Lorenz Strange Attractor" , 1984 .

[126]  Wu,et al.  Quantized Hall conductance as a topological invariant. , 1984, Physical review. B, Condensed matter.

[127]  P. Pechukas.  Remarks on "quantum chaos" , 1984 .

[128]  F. Vivaldi.  Weak instabilities in many-dimensional Hamiltonian systems , 1984 .

[129]  Y. Pomeau,et al.  The periodically kicked rotator: Recurrence and/or energy growth , 1984 .

[130]  D. Grempel,et al.  Finite-Planck's-Constant Scaling at Stochastic Transitions of Dynamical Systems , 1984 .

[131]  A. Carnegie.  Hydrogen atoms perturbed by some periodic impulsive electric fields , 1984 .

[132]  G. Casati,et al.  Degree of randomness of the sequence of eigenvalues , 1984 .

[133]  R. Graham,et al.  Two-state system coupled to a boson mode: Quantum dynamics and classical approximations , 1984 .

[134]  M. Berry,et al.  Semiclassical level spacings when regular and chaotic orbits coexist , 1984 .

[135]  G. Turchetti.  Classical limit and stieltjes properties of perturbation series for anharmonic oscillators , 1984 .

[136]  U. Smilansky,et al.  Suppression of classical stochasticity by quantum-mechanical effects in the dynamics of periodically perturbed surface-state electrons , 1984 .

[137]  A. Zewail,et al.  Direct Observation of Nonchaotic Multilevel Vibrational Energy Flow in Isolated Polyatomic Molecules , 1984 .

[138]  J. Verbaarschot,et al.  Quantum spectra and transition from regular to chaotic classical motion , 1984 .

[139]  A. Zewail,et al.  Direct picosecond time resolution of dissipative intramolecular vibrational-energy redistribution (IVR) in isolated molecules , 1984 .

[140]  E. Heller,et al.  Vector fields, line integrals, and the Hamilton-Jacobi equation: Semiclassical quantization of bound states , 1984 .

[141]  R. Jensen.  Stochastic ionization of surface-state electrons: Classical theory , 1984 .

[142]  A. Peres,et al.  Ergodicity and mixing in quantum theory. II , 1984 .

[143]  R. Ramaswamy.  Quasiperiodic quantum states , 1984 .

[144]  J. Mather.  Non-existence of invariant circles , 1984, Ergodic Theory and Dynamical Systems.

[145]  J. Hietarinta.  Classical versus quantum integrability , 1984 .

[146]  K. Kay,et al.  Comparison of quantum, classical, and statistical behavior in dissociating triatomics , 1984 .

[147]  Michael J. Davis,et al.  Comparisons of classical and quantum dynamics for initially localized states , 1984 .

[148]  L. Cederbaum,et al.  Uncovering the Transition from Regularity to Irregularity in a Quantum System , 1984 .

[149]  M. Shapiro,et al.  Regularity of low-lying quantum eigenstates in a classically mixing system , 1984 .

[150]  H. Taylor,et al.  A quantum KAM-like theorem. II. Fundamentals of localisation in quantum theory for resonance states , 1984 .

[151]  J. Elgin,et al.  Quantum fluctuations and the Lorenz strange attractor , 1984 .

[152]  D. Grempel,et al.  Quantum dynamics of a nonintegrable system , 1984 .

[153]  Marko Robnik,et al.  Quantising a generic family of billiards with analytic boundaries , 1984 .

[154]  M. Scully,et al.  Distribution functions in physics: Fundamentals , 1984 .

[155]  V. G. Sigillito,et al.  Eigenvalues of the Laplacian in Two Dimensions , 1984 .

[156]  J. L. Kinsey,et al.  Stimulated emission pumping of acetylene: Evidence for quantum chaotic behavior near 27 900 cm−1 of excitation? , 1984 .

[157]  Michael D. Feit,et al.  Wave packet dynamics and chaos in the Hénon–Heiles system , 1984 .

[158]  B. Dorizzi,et al.  On the quantization of the Kowalevskaya top , 1984 .

[159]  I. Percival,et al.  Regular and chaotic motion in some quartic potentials , 1984 .

[160]  S. Mukamel,et al.  Fluctuations in intramolecular line shapes—random matrix theory , 1984 .

[161]  M. Berry,et al.  Diabolical points in the spectra of triangles , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[162]  M. Berry.  Quantal phase factors accompanying adiabatic changes , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[163]  M. Berry.  Incommensurability in an exactly-soluble quantal and classical model for a kicked rotator , 1984 .

[164]  G. Casati,et al.  Non-recurrent behaviour in quantum dynamics , 1984 .

[165]  B. K. Jennings,et al.  Wigner's function and other distribution functions in mock phase spaces , 1984 .

[166]  M. Robnik.  The algebraic quantisation of the Birkhoff-Gustavson normal form , 1984 .

[167]  U. Smilansky,et al.  Quantum mechanical suppression of classical stochasticity in the dynamics of periodically perturbed surface-state electrons , 1984 .

[168]  O. Bohigas,et al.  Characterization of chaotic quantum spectra and universality of level fluctuation laws , 1984 .

[169]  Barry Simon,et al.  Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase , 1983 .

[170]  M. L. Mehta,et al.  Gaussian ensembles of random hermitian matrices intermediate between orthogonal and unitary ones , 1983 .

[171]  Robert Graham,et al.  Quantization of a two-dimensional map with a strange attractor , 1983 .

[172]  D. W. Noid,et al.  Uniform semiclassical theory of avoided crossings , 1983 .

[173]  L. Cederbaum,et al.  On the statistical behaviour of molecular vibronic energy levels , 1983 .

[174]  K. Kay.  Toward a comprehensive semiclassical ergodic theory , 1983 .

[175]  H. Taylor,et al.  Quantum Kolmogorov-Arnol'd-Moser-like Theorem: Fundamentals of Localization in Quantum Theory , 1983 .

[176]  P. Pechukas.  Distribution of Energy Eigenvalues in the Irregular Spectrum , 1983 .

[177]  H. Korsch.  On the nodal behaviour of eigenfunctions , 1983 .

[178]  N. B. Delone,et al.  Highly-excited atoms in the electromagnetic field , 1983 .

[179]  Dima L. Shepelyansky,et al.  Some statistical properties of simple classically stochastic quantum systems , 1983 .

[180]  Joseph Ford,et al.  How random is a coin toss , 1983 .

[181]  E. Heller,et al.  Semiclassical quantization and extraction of eigenfunctions using arbitrary trajectories , 1983 .

[182]  W. Arveson.  Quantization and the uniqueness of invariant structures , 1983 .

[183]  B. Simon.  Some quantum operators with discrete spectrum but classically continuous spectrum , 1983 .

[184]  H. Camarda,et al.  Statistical Behavior of Atomic Energy Levels: Agreement with Random-Matrix Theory , 1983 .

[185]  S. Koonin,et al.  Semiclassical quantization of the shell model , 1982 .

[186]  B. Simon.  Almost periodic Schrödinger operators: A Review , 1982 .

[187]  A. Lichtenberg,et al.  Regular and Stochastic Motion , 1982 .

[188]  W. Reinhardt,et al.  Approximate constants of motion for classically chaotic vibrational dynamics: Vague tori, semiclassical quantization, and classical intramolecular energy flow , 1982 .

[189]  W. Reinhardt,et al.  Uniform semiclassical quantization of regular and chaotic classical dynamics on the Hénon–Heiles surface , 1982 .

[190]  R. Jensen.  Stochastic Ionization of Surface-State Electrons , 1982 .

[191]  D. Grempel,et al.  Localization in an Incommensurate Potential: An Exactly Solvable Model , 1982 .

[192]  M. Gutzwiller.  The quantization of a classically ergodic system , 1982 .

[193]  D. Grempel,et al.  Chaos, Quantum Recurrences, and Anderson Localization , 1982 .

[194]  J. Jortner,et al.  Quantum manifestations of classical stochasticity. II. Dynamics of wave packets of bound states , 1982 .

[195]  P. Richens.  On quantisation using periodic classical orbits , 1982 .

[196]  H. Taylor,et al.  A quantum analog to the classical quasiperiodic motion , 1982 .

[197]  M. Ratner,et al.  Distributions of energy spacings and wave function properties in vibrationally excited states of polyatomic molecules. I. Numerical experiments on coupled Morse oscillators , 1982 .

[198]  P. Pechukas.  Kolmogorov entropy and "quantum chaos" , 1982 .

[199]  O. Bohigas,et al.  Fluctuation properties of nuclear energy levels: Do theory and experiment agree? , 1982 .

[200]  J. Hietarinta.  Quantum canonical transformations as integral transformations , 1982 .

[201]  Laurence G. Yaffe,et al.  Large N limits as classical mechanics , 1982 .

[202]  S. Shenker,et al.  Critical behavior of a KAM surface: I. Empirical results , 1982 .

[203]  P. Pechukas.  “Quantum chaos” in the irregular spectrum , 1982 .

[204]  A. R. Edmonds,et al.  Comparison of classical and quantum spectra for a totally bound potential , 1981 .

[205]  G. Zaslavsky.  Stochasticity in quantum systems , 1981 .

[206]  J. Cary.  LIE TRANSFORM PERTURBATION THEORY FOR HAMILTONIAN SYSTEMS , 1981 .

[207]  Michael J. Davis,et al.  Multidimensional wave functions from classical trajectories , 1981 .

[208]  Eric J. Heller,et al.  Frozen Gaussians: A very simple semiclassical approximation , 1981 .

[209]  V. Alekseev,et al.  Symbolic dynamics and hyperbolic dynamic systems , 1981 .

[210]  B. Chirikov,et al.  Stochastic oscillations of classical Yang-Mills fields , 1981 .

[211]  B. Simon,et al.  Transient and Recurrent Spectrum , 1981 .

[212]  M. V. Berry,et al.  Evolution of Wigner's phase-space density under a nonintegrable quantum map , 1981 .

[213]  P. A. Mello,et al.  Random matrix physics: Spectrum and strength fluctuations , 1981 .

[214]  M. V. Berry,et al.  Pseudointegrable systems in classical and quantum mechanics , 1981 .

[215]  S. Goldstein,et al.  On intrinsic randomness of dynamical systems , 1981 .

[216]  M. Andrews.  The spreading of wavepackets in quantum mechanics , 1981 .

[217]  R. Wyatt,et al.  Quantum ergodicity for time-dependent wave-packet dynamics , 1981 .

[218]  C. DeWitt-Morette,et al.  Techniques and Applications of Path Integration , 1981 .

[219]  S. Rice,et al.  The influence of quantization on the onset of chaos in Hamiltonian systems: The Kolmogorov entropy interpretation , 1981 .

[220]  Ramakrishna Ramaswamy,et al.  Perturbative examination of avoided crossings , 1981 .

[221]  Eric J. Heller,et al.  Quantum dynamics in classically integrable and non-integrable regions , 1980 .

[222]  Michael J. Davis,et al.  Molecular spectra, Fermi resonances, and classical motion , 1980 .

[223]  A. Peres.  Nonexponential decay law , 1980 .

[224]  Jan Leonard van Hemmen,et al.  Dynamics and ergodicity of the infinite harmonic crystal , 1980 .

[225]  M. Berry,et al.  Quantization of linear maps on a torus-fresnel diffraction by a periodic grating , 1980 .

[226]  M. Gutzwiller.  Classical Quantization of a Hamiltonian with Ergodic Behavior , 1980 .

[227]  D. W. Noid,et al.  Calculations related to quantum stochasticity, an example of overlapping avoided crossings , 1980 .

[228]  M. Shapiro,et al.  Intramolecular dynamics: time evolution of superposition states in the regular and irregular spectrum , 1980 .

[229]  Donald W. Noid,et al.  Properties of vibrational energy levels in the quasi periodic and stochastic regimes , 1980 .

[230]  K. Kay.  Numerical study of intramolecular vibrational energy transfer: Quantal, classical, and statistical behavior , 1980 .

[231]  G. Casati,et al.  On the connection between quantization of nonintegrable systems and statistical theory of spectra , 1980 .

[232]  G. Hagedorn.  Semiclassical quantum mechanics , 1980 .

[233]  I. Percival,et al.  Ionisation of highly excited atoms by electric fields. IV. Frequency and amplitude dependence for linearly polarised fields , 1980 .

[234]  N. Handy,et al.  On the quantum mechanical implications of classical ergodicity , 1979 .

[235]  Michael J Davis,et al.  Semiclassical Gaussian basis set method for molecular vibrational wave functions , 1979 .

[236]  L. Bunimovich.  On the ergodic properties of nowhere dispersing billiards , 1979 .

[237]  J. Delos,et al.  Semiclassical calculations of vibrational energy levels for nonseparable systems using the Birkhoff–Gustavson normal form , 1979 .

[238]  I Prigogine,et al.  From deterministic dynamics to probabilistic descriptions. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[239]  B. Chirikov.  A universal instability of many-dimensional oscillator systems , 1979 .

[240]  M. Berry.  Evolution of semiclassical quantum states in phase space , 1979 .

[241]  Allan N. Kaufman,et al.  Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories , 1979 .

[242]  I. Percival,et al.  Ionisation of highly excited atoms by electric fields. III. Microwave ionisation and excitation , 1979 .

[243]  J. Kimball.  Localisation and spectra in solid state systems , 1978 .

[244]  I. Percival,et al.  Microwave Ionization and Excitation of Rydberg Atoms , 1978 .

[245]  R. Devaney.  Nonregularizability of the anisotropic Kepler problem , 1978 .

[246]  V. Krainov,et al.  Diffusion mechanism of ionization of highly excited atoms in an alternating electromagnetic field , 1978 .

[247]  A. Wehrl.  General properties of entropy , 1978 .

[248]  F. Bayen,et al.  Deformation theory and quantization. I. Deformations of symplectic structures , 1978 .

[249]  E. Heller.  Phase space interpretation of semiclassical theory , 1977 .

[250]  Paul S. Wang,et al.  Numerological analysis of the WKB approximation in large order , 1977 .

[251]  M. Berry,et al.  Level clustering in the regular spectrum , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[252]  R. K. Preston,et al.  Quantum versus classical dynamics in the treatment of multiple photon excitation of the anharmonic oscillator , 1977 .

[253]  L. Gardner,et al.  Observation of resonances in the microwave-stimulated multiphoton excitation and ionization of highly excited hydrogen atoms , 1977 .

[254]  P. Walters.  Introduction to Ergodic Theory , 1977 .

[255]  M. Berry,et al.  Calculating the bound spectrum by path summation in action-angle variables , 1977 .

[256]  Shiu-yuen Cheng.  Eigenfunctions and nodal sets , 1976 .

[257]  S. Rice,et al.  Nonlinear resonance and stochasticity in intramolecular energy exchange , 1976 .

[258]  Eric J. Heller,et al.  Wigner phase space method: Analysis for semiclassical applications , 1976 .

[259]  R. Sénéor,et al.  The Maslov-WKB method for the (an-)harmonic oscillator , 1976 .

[260]  M. Berry,et al.  Closed orbits and the regular bound spectrum , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[261]  Karen K. Uhlenbeck.  Generic Properties of Eigenfunctions , 1976 .

[262]  A. N. Zemlyakov,et al.  Topological transitivity of billiards in polygons , 1975 .

[263]  D. Saari,et al.  Stable and Random Motions in Dynamical Systems , 1975 .

[264]  J. S. Howland,et al.  Stationary scattering theory for time-dependent Hamiltonians , 1974 .

[265]  Neil Pomphrey,et al.  Numerical identification of regular and irregular spectra , 1974 .

[266]  P. Koch,et al.  Multiphoton ionization of highly excited hydrogen atoms , 1974 .

[267]  R. Balian,et al.  Solution of the Schrodinger Equation in Terms of Classical Paths , 1974 .

[268]  I. C. Percival,et al.  Regular and irregular spectra , 1973 .

[269]  T. A. Brody.  A statistical measure for the repulsion of energy levels , 1973 .

[270]  G. M. Zaslavskii,et al.  STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS , 1972 .

[271]  R. Balian,et al.  Distribution of eigenfrequencies for the wave equation in a finite domain. II. Electromagnetic field. Riemannian spaces , 1971 .

[272]  R. Balian,et al.  Asymptotic evaluation of the Green's function for large quantum numbers , 1971 .

[273]  M. Gutzwiller,et al.  Periodic Orbits and Classical Quantization Conditions , 1971 .

[274]  Madan Lal Mehta,et al.  Random Matrices and the Statistical Theory of Energy Levels. , 1970 .

[275]  Girish S. Agarwal,et al.  CALCULUS FOR FUNCTIONS OF NONCOMMUTING OPERATORS AND GENERAL PHASE-SPACE METHODS IN QUANTUM MECHANICS. I. MAPPING THEOREMS AND ORDERING OF FUNCTIONS OF NONCOMMUTING OPERATORS. , 1970 .

[276]  R. Balian,et al.  DISTRIBUTION OF EIGENFREQUENCIES FOR THE WAVE EQUATION IN A FINITE DOMAIN. I. THREE-DIMENSIONAL PROBLEM WITH SMOOTH BOUNDARY SURFACE. , 1970 .

[277]  M. Gutzwiller,et al.  Energy Spectrum According to Classical Mechanics , 1970 .

[278]  Barry Simon,et al.  Coupling constant analyticity for the anharmonic oscillator , 1970 .

[279]  J. Henrard,et al.  Birkhoff's normalization , 1969 .

[280]  André Deprit,et al.  Canonical transformations depending on a small parameter , 1969 .

[281]  Michael Martin Nieto,et al.  Phase and Angle Variables in Quantum Mechanics , 1968 .

[282]  F. G. Gustavson,et al.  Oil constructing formal integrals of a Hamiltonian system near ail equilibrium point , 1966 .

[283]  L. Keldysh,et al.  IONIZATION IN THE FIELD OF A STRONG ELECTROMAGNETIC WAVE , 1964 .

[284]  M. Hénon,et al.  The applicability of the third integral of motion: Some numerical experiments , 1964 .

[285]  P. Anderson.  Absence of Diffusion in Certain Random Lattices , 1958 .

[286]  Bryce S. DeWitt,et al.  Dynamical theory in curved spaces. 1. A Review of the classical and quantum action principles , 1957 .

[287]  C. Porter,et al.  Fluctuations of Nuclear Reaction Widths , 1956 .

[288]  J. E. Moyal.  Quantum mechanics as a statistical theory , 1949, Mathematical Proceedings of the Cambridge Philosophical Society.

[289]  J. Kovalevsky,et al.  Lectures in celestial mechanics , 1989 .

[290]  U. Smilansky,et al.  Microwave Ionization of Hydrogen Atoms Below the Classical Chaos Border , 1987 .

[291]  J. Delos.  Catastrophes and stable caustics in bound states of Hamiltonian systems , 1987 .

[292]  E. Heller.  Qualitative properties of eigenfunctions of classically chaotic Hamiltonian systems , 1986 .

[293]  J. Verbaarschot,et al.  Energy level statistics of integrable quantum systems. , 1986, Physical review letters.

[294]  O. Bohigas,et al.  Characterization of Fluctuations of Chaotic Quantum Spectra , 1985 .

[295]  M. Berry.  Aspects of Degeneracy , 1985 .

[296]  S. M. Wong.  Fluctuations in Nuclear Spectra , 1985 .

[297]  D. L. Shepelyansky.  Quantum Diffusion Limitation at Excitation of Rydberg Atom in Variable Field , 1985 .

[298]  B. Simon.  Almost periodic Schrödinger operators IV. The maryland model , 1985 .

[299]  J. Wheeler.  Bohr’s “Phenomenon” and “Law Without Law” , 1985 .

[300]  H. Taylor,et al.  Comment on ‘‘Quasiperiodic quantum states’’ , 1985 .

[301]  J. Bellissard.  Stability and instability in quantum mechanics , 1985 .

[302]  D. Grempel,et al.  Quantum Chaos and Anderson Localization , 1985 .

[303]  J. Bellissard.  Small Divisors in Quantum Mechanics , 1985 .

[304]  Jerry P. Gollub,et al.  Scaling at the Transition from Quasiperiodicity to Chaos in a Hydrodynamic System , 1985 .

[305]  E. Stechel.  Quantum ergodicity and a quantum measure algebra , 1985 .

[306]  G. Lindblad.  A new approach to quantum ergodicity and chaos , 1985 .

[307]  Willis E. Lamb,et al.  Quantum Chaos and the Theory of Measurement , 1985 .

[308]  E. Prugovec̆ki.  Stochastic Quantum Mechanics And Quantum Spacetime , 1984 .

[309]  E. Heller,et al.  Quantum Ergodicity and Spectral Chaos , 1984 .

[310]  M. R. Herman,et al.  Sur les courbes invariantes par les difféomorphismes de l'anneau. 2 , 1983 .

[311]  G. Casati,et al.  Preliminaries to the ergodic theory of infinite-dimensional systems: A model of radiant cavity , 1983 .

[312]  M. Tabor.  A semiclassical quantization of area-preserving maps , 1983 .

[313]  R. Blattner.  On geometric quantization , 1983 .

[314]  H. J. Scholz,et al.  Markov chains and discrete chaos , 1982 .

[315]  P. Jacquinot,et al.  Atomic Rydberg States , 1982 .

[316]  P. Dirac,et al.  Principles of Quantum Mechanics , 1982 .

[317]  D. Sternheimer.  Deformation theory applied to quantization and group representations , 1982 .

[318]  Donald W. Noid,et al.  Quasiperiodic and stochastic behavior in molecules , 1981 .

[319]  M. Berry.  Quantizing a classically ergodic system: Sinai's billiard and the KKR method , 1981 .

[320]  S. Matinyan,et al.  CLASSICAL YANG-MILLS MECHANICS. NONLINEAR COLOR OSCILLATIONS , 1981 .

[321]  Eberhard R. Hilf,et al.  Spectra of Finite Systems , 1980 .

[322]  R. Marcus.  Intramolecular Dynamics: Regular and Stochastic Vibrational States of Molecules , 1980 .

[323]  J. Sniatycki.  Geometric quantization and quantum mechanics , 1980 .

[324]  B. Chirikov,et al.  Stochastic behavior of a quantum pendulum under a periodic perturbation , 1979 .

[325]  A. Lichnerowicz.  Deformation theory and quantization , 1979 .

[326]  M. L. Burns,et al.  Spectroscopy of electrons in image-potential--induced surface states outside liquid helium , 1976 .

[327]  S. Rice,et al.  A quantum ergodic theory approach to unimolecular fragmentation , 1975 .

[328]  Kenneth R. Meyer,et al.  Generic Hamiltonian dynamical systems are neither integrable nor ergodic , 1974 .

[329]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[330]  K. Ishii,et al.  Localization of Eigenstates and Transport Phenomena in the One-Dimensional Disordered System , 1973 .

[331]  W. Forst,et al.  Theory of Unimolecular Reactions , 1973 .

[332]  R. Balian,et al.  Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations , 1972 .

[333]  Mark S. C. Reed,et al.  Method of Modern Mathematical Physics , 1972 .

[334]  L. G. Suttorp,et al.  Foundations of electrodynamics , 1972 .

[335]  P. J. Robinson.  Unimolecular reactions , 1972 .

[336]  Michael V Berry,et al.  Semiclassical approximations in wave mechanics , 1972 .

[337]  V. I. Arnolʹd,et al.  Ergodic problems of classical mechanics , 1968 .

[338]  E. Wigner.  Random Matrices in Physics , 1967 .

[339]  F. Strocchi,et al.  COMPLEX COORDINATES AND QUANTUM MECHANICS , 1966 .

[340]  R. Feynman,et al.  Quantum Mechanics and Path Integrals , 1965 .

[341]  F. Dyson.  Statistical Theory of the Energy Levels of Complex Systems. I , 1962 .

[342]  Kodi Husimi,et al.  Some Formal Properties of the Density Matrix , 1940 .

[343]  Edward Teller,et al.  The Crossing of Potential Surfaces. , 1937 .

[344]  J. Neumann,et al.  Uber merkwürdige diskrete Eigenwerte. Uber das Verhalten von Eigenwerten bei adiabatischen Prozessen , 1929 .

[345]  Albert Einstein,et al.  Zum Quantensatz von Sommerfeld und Epstein , 1917 .