From Open Quantum Systems to Open Quantum Maps
暂无分享,去创建一个
Maciej Zworski | Stéphane Nonnenmacher | Johannes Sjöstrand | M. Zworski | J. Sjöstrand | S. Nonnenmacher
[1] T. Prosen. General quantum surface-of-section method , 1995, chao-dyn/9502009.
[2] J. Bony,et al. Espaces fonctionnels associés au calcul de Weyl-Hörmander , 1994 .
[3] J. Sjoestrand,et al. Elementary linear algebra for advanced spectral problems , 2003, math/0312166.
[4] G. Berkolaiko. The Mathematical Aspects of Quantum Maps , 2003 .
[5] S. Rice,et al. Semiclassical quantization of the scattering from a classically chaotic repellor , 1989 .
[6] Distribution of Resonances for Open Quantum Maps , 2005, math-ph/0505034.
[7] P. Walters,et al. Expansive one-parameter flows , 1972 .
[8] J. Sjöstrand. A Trace Formula and Review of Some Estimates for Resonances , 1997 .
[9] L. Hörmander,et al. The Analysis of Linear Partial Differential Operators IV , 1985 .
[10] M. Zworski,et al. Fractal Weyl laws in discrete models of chaotic scattering , 2005, math-ph/0506045.
[11] P. H. Müller,et al. L. Hörmander, Linear Partial Differential Operators. VIII + 284 S. m. 1 Fig. Berlin/Göttingen/Heidelberg 1963. Springer-Verlag. Preis geb. DM 42,- . , 1964 .
[12] G. Vattay,et al. A Fredholm determinant for semiclassical quantization. , 1993, Chaos.
[13] N. Balazs,et al. The Quantized Baker's Transformation , 1987 .
[14] Andrew Hassell,et al. Strichartz Estimates Without Loss on Manifolds with Hyperbolic Trapped Geodesics , 2009, 0907.3545.
[15] A. Voros. Unstable periodic orbits and semiclassical quantisation , 1988 .
[16] Mouez Dimassi,et al. Spectral asymptotics in the semi-classical limit , 1999 .
[17] Maciej Zworski,et al. From quasimodes to resonances , 1998 .
[18] J. Sjoestrand. Eigenvalue distribution for non-self-adjoint operators with small multiplicative random perturbations , 2008, 0802.3584.
[19] M. Zworski,et al. Fractal Weyl law for open quantum chaotic maps , 2011, 1105.3128.
[20] J. Zukas. Introduction to the Modern Theory of Dynamical Systems , 1998 .
[21] Jorge V. José,et al. Chaos in classical and quantum mechanics , 1990 .
[22] Celso Grebogi,et al. Wada Basin Boundaries in Chaotic Scattering , 1996 .
[23] Ivana Alexandrova. Semi-Classical Wavefront Set and Fourier Integral Operators , 2008, Canadian Journal of Mathematics.
[24] M. Rubin,et al. Resonant eigenstates for a quantized chaotic system , 2007 .
[25] Prangé,et al. Fredholm theory for quasiclassical scattering. , 1995, Physical review letters.
[26] Henning Schomerus,et al. Quantum-to-classical crossover of quasibound states in open quantum systems. , 2004, Physical review letters.
[27] J. Sjöstrand,et al. Semiclassical resonances generated by a closed trajectory of hyperbolic type , 1987 .
[28] Bernard Helffer,et al. Résonances en limite semi-classique , 1986 .
[29] R. Ramaswamy,et al. Semiclassical quantization of multidimensional systems , 1980 .
[30] J. Combes,et al. A class of analytic perturbations for one-body Schrödinger Hamiltonians , 1971 .
[31] C. Beenakker,et al. Dynamical model for the quantum-to-classical crossover of shot noise , 2003, cond-mat/0304327.
[32] André Martinez. Resonance Free Domains for Non Globally Analytic Potentials , 2002 .
[33] M. Zworski,et al. Quantum decay rates in chaotic scattering , 2007, 0706.3242.
[34] L. Hörmander. The analysis of linear partial differential operators , 1990 .
[35] Shepelyansky,et al. Statistics of quantum lifetimes in a classically chaotic system. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[36] M. Zworski,et al. Quantum monodromy and semi-classical trace formulæ , 2002 .
[37] Quantum monodromy and semi-classical trace formulae , 2001, math/0108052.
[38] C. Gérard. Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes , 1986 .
[39] J. Sjöstrand. Geometric bounds on the density of resonances for semiclassical problems , 1990 .
[40] U. Smilansky,et al. A scattering approach to the quantization of Hamiltonians in two dimensions-application to the wedge billiard , 1995 .
[41] V. Petkov,et al. Semi-classical Estimates on the Scattering Determinant , 2001 .
[42] Jan Awrejcewicz,et al. Bifurcation and Chaos , 1995 .
[43] R. O. Vallejos,et al. The quantized D-transformation. , 1996, Chaos.
[44] Maciej Zworski,et al. Complex scaling and the distribution of scattering poles , 1991 .
[45] M. Dimassi,et al. Spectral Asymptotics in the Semi-Classical Limit: Frontmatter , 1999 .
[46] U. Smilansky,et al. Semiclassical quantization of chaotic billiards: a scattering theory approach , 1992 .
[47] Quantum mechanics and semiclassics of hyperbolic n-disk scattering systems , 1997, chao-dyn/9712015.
[48] M. Zworski,et al. Fractal upper bounds on the density of semiclassical resonances , 2005 .