REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS
暂无分享,去创建一个
G. Marmo | J. Clemente-Gallardo | J. F. Carinena | G. Marmo | J. Cariñena | J. Clemente-Gallardo | G. Marmo
[1] Richard Cushman,et al. Global Aspects of Classical Integrable Systems , 2004 .
[2] S. Chaturvedi,et al. Wigner-Weyl correspondence in quantum mechanics for continuous and discrete systems-a Dirac-inspired view , 2006 .
[3] Nicolaas P. Landsman,et al. Mathematical Topics Between Classical and Quantum Mechanics , 1998 .
[4] P. Dirac. Quantised Singularities in the Electromagnetic Field , 1931 .
[5] A. Perelomov,et al. Classical integrable finite-dimensional systems related to Lie algebras , 1981 .
[6] S. Woronowicz. Twisted SU (2) group. An example of a non-commutative differential calculus , 1987 .
[8] S. Chaturvedi,et al. Ray space ‘Riccati’ evolution and geometric phases for N-level quantum systems , 2007, 0706.0964.
[9] On the self-adjointness of certain reduced laplace-beltrami operators , 2007, 0707.2708.
[10] S. Lie,et al. Vorlesungen über continuierliche Gruppen mit geometrischen und anderen Anwendungen / Sophus Lie ; bearbeitet und herausgegeben von Georg Scheffers. , 1893 .
[11] R. Palais. A Global Formulation of the Lie Theory of Transformation Groups , 1957 .
[12] Generalized Reduction Procedure: Symplectic and Poisson Formalism , 1993, hep-th/9307018.
[13] R. López-Peña,et al. Wigner’s problem for a precessing magnetic dipole , 1997 .
[14] Infinitely many star products to play with , 2001, hep-th/0112092.
[15] REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM , 2005, math-ph/0504033.
[16] R. V. Gamkrelidze,et al. Basic ideas and concepts of differential geometry , 1991 .
[17] L. Fehér,et al. Hamiltonian reductions of free particles under polar actions of compact Lie groups , 2007, 0705.1998.
[18] GLOBAL THEORY OF QUANTUM BOUNDARY CONDITIONS AND TOPOLOGY CHANGE , 2004, hep-th/0403048.
[19] B. Skagerstam,et al. Magnetic Monopoles With No Strings , 1980 .
[20] P. Dirac. On the Analogy Between Classical and Quantum Mechanics , 1945 .
[21] G. M.,et al. Theory of Differential Equations , 1902, Nature.
[22] Tullio Levi-Civita,et al. Lezioni Di Meccanica Razionale ... , 2006 .
[23] V. Man'ko,et al. GENERALIZED REDUCTION PROCEDURE AND NONLINEAR NONSTATIONARY DYNAMICAL SYSTEMS , 1992 .
[24] REDUCTION AND UNFOLDING: THE KEPLER PROBLEM , 2004, math-ph/0411014.
[25] Quantization on a Lie Group: Higher-Order Polarizations , 1997, physics/9710002.
[26] L. Pizzocchero,et al. A FUNCTIONAL REPRESENTATION FOR NON-COMMUTATIVE C*-ALGEBRAS , 1994 .
[27] Johannes J. Duistermaat,et al. On global action‐angle coordinates , 1980 .
[28] G. Landi,et al. Algebraic differential calculus for gauge theories , 1990 .
[29] A. Perelomov,et al. On the geometry of Lie algebras and Poisson tensors , 1994 .
[30] G. Marmo,et al. The inverse problem in the calculus of variations and the geometry of the tangent bundle , 1990 .
[31] J. Klauder,et al. Classical symptoms of quantum illnesses , 1993 .
[32] A. R. Forsyth. Theory of Differential Equations , 1961 .
[33] Lie algebraic characterization of manifolds , 2003, math/0310202.
[34] G. Marmo,et al. Space-time orientations and maxwell's equations* , 2005, 0708.3543.
[35] G. Vilasi,et al. GEOMETRICAL ASPECTS OF MIXED TORSIONLESS TENSOR FIELDS , 2006 .
[36] B. Skagerstam,et al. Gauge Symmetries and Fibre Bundles: Applications To Particle Dynamics , 1983, 1702.08910.
[37] Henri Français. Remarques sur une expérience de M. Birkeland , 1896 .
[38] Geometric Hamilton-Jacobi theory , 2006, math-ph/0604063.
[39] W. Heitler. The Principles of Quantum Mechanics , 1947, Nature.
[40] A GENERALIZED REDUCTION PROCEDURE FOR DYNAMICAL SYSTEMS , 1991 .
[41] Noncommutative differential calculus for Moyal subalgebras , 2004, hep-th/0411223.
[42] S. Weinberg. Testing quantum mechanics , 1989 .
[43] A. Kirillov. Merits and demerits of the orbit method , 1999 .
[44] G. Marmo,et al. From Classical to Quantum Mechanics: An Introduction to the Formalism, Foundations and Applications , 2004 .
[45] Livio Pizzocchero,et al. Quantum mechanics as an infinite‐dimensional Hamiltonian system with uncertainty structure: Part II , 1990 .
[46] Eugene J. Saletan,et al. Dynamical Systems: A Differential Geometric Approach to Symmetry and Reduction , 1985 .
[47] G. Marmo,et al. Geometrization of quantum mechanics , 2007, math-ph/0701053.
[48] G. Marmo,et al. Reduction of Jacobi manifolds , 1997 .
[49] A Class of Calogero Type Reductions of Free Motion on a Simple Lie Group , 2006, math-ph/0609085.
[50] Automorphisms of quantum and classical Poisson algebras , 2002, Compositio Mathematica.