Mathematics Subject Classification 1991

81-XX Quantum Theory ( 0 Dok.)

• 81-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 81-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 81-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 81-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 81-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 81-05 Experimental papers ( 0 Dok.)
• 81-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 81-08 Computational methods ( 0 Dok.)
• 81Pxx Axiomatics, foundations, philosophy ( 0 Dok. )
• 81P05 General and philosophical ( 0 Dok.)
• 81P10 Logical foundations of quantum mechanics ( 0 Dok.)
• 81P15 Quantum measurement theory ( 0 Dok.)
• 81P20 Stochastic mechanics (including stochastic electrodynamics) ( 0 Dok.)
• 81P99 None of the above but in this section ( 0 Dok.)
• 81Qxx General mathematical topics and methods in quantum theory ( 0 Dok. )
• 81Q05 Closed and approximate solutions to the Schrodinger, Dirac, Klein-Gordon and other quantum-mechanical equations ( 0 Dok.)
• 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis ( 0 Dok.)
• 81Q15 Perturbation theories for operators and differentialequations ( 0 Dok.)
• 81Q20 Semiclassical techniques including WKB and Maslov methods ( 0 Dok.)
• 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, See also {14D05,32S40} ( 0 Dok.)
• 81Q40 Bethe-Salpeter and other integral equations ( 0 Dok.)
• 81Q50 Quantum chaos, See also {58F13} ( 0 Dok.)
• 81Q60 Supersymmetric quantum mechanics ( 0 Dok.)
• 81Q99 None of the above but in this section ( 0 Dok.)
• 81Rxx Groups and algebras in quantum theory ( 0 Dok. )
• 81R05 Representations of finite-dimensional groups and algebras motivated by physics, See also {20C35, 22E70} ( 0 Dok.)
• 81R10 Representations of infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody and other current algebras, See also {17B65, 17B67, 22E65, 22E67, 22E70} ( 0 Dok.)
• 81R20 Covariant wave equations ( 0 Dok.)
• 81R25 Spinor and twistor methods, See also {32L25} ( 0 Dok.)
• 81R30 Coherent states, See also {22E45} ( 0 Dok.)
• 81R40 Symmetry breaking ( 0 Dok.)
• 81R50 Quantum groups and related algebraic methods, See Also { 16W30, 17B37} ( 0 Dok.)
• 81R99 None of the above but in this section ( 0 Dok.)
• 81Sxx General quantum mechanics and problems of quantization ( 0 Dok. )
• 81S05 Commutation relations ( 0 Dok.)
• 81S10 Geometric quantization, symplectic methods, See Also { 58F06} ( 0 Dok.)
• 81S20 Stochastic quantization ( 0 Dok.)
• 81S25 Quantum stochastic calculus ( 0 Dok.)
• 81S30 Phase space methods including Wigner distributions, etc. ( 0 Dok.)
• 81S40 Path integrals, See also {58D30} ( 0 Dok.)
• 81S99 None of the above but in this section ( 0 Dok.)
• 81Txx Quantum field theory; related classical field theories ( 0 Dok. )
• 81T05 Axiomatic quantum field theory; operator algebras ( 0 Dok.)
• 81T08 Constructive quantum field theory ( 0 Dok.)
• 81T10 Model quantum field theories ( 0 Dok.)
• 81T13 Yang-Mills and other gauge theories, See also {53C07, 58E15} ( 0 Dok.)
• 81T15 Perturbative methods of renormalization ( 0 Dok.)
• 81T16 Nonperturbative methods of renormalization ( 0 Dok.)
• 81T17 Renormalization group methods ( 0 Dok.)
• 81T18 Feynman diagrams ( 0 Dok.)
• 81T20 Quantum field theory on curved space backgrounds ( 0 Dok.)
• 81T25 Quantum field theory on lattices ( 0 Dok.)
• 81T27 Continuum limits ( 0 Dok.)
• 81T30 String and superstring theories; other extended objects , See also {83E30} ( 0 Dok.)
• 81T40 Two-dimensional field theories, conformal field theories, etc. ( 0 Dok.)
• 81T50 Anomalies ( 0 Dok.)
• 81T60 Supersymmetric field theories ( 0 Dok.)
• 81T70 Quantization in field theory; cohomological methods, See also {58F06} ( 0 Dok.)
• 81T80 Simulation and numerical modeling ( 0 Dok.)
• 81T99 None of the above but in this section ( 0 Dok.)
• 81Uxx Scattering theory, See also {47A40} ( 0 Dok. )
• 81U05 $2$-body potential scattering theory, See also {34E20 for WKB methods} ( 0 Dok.)
• 81U10 $n$-body potential scattering theory ( 0 Dok.)
• 81U20 $S$-matrix theory, etc. ( 0 Dok.)
• 81U30 Dispersion theory, dispersion relations ( 0 Dok.)
• 81U40 Inverse scattering problems, See also {58F07, 58F19} ( 0 Dok.)
• 81U99 None of the above but in this section ( 0 Dok.)
• 81Vxx Applications to specific physical systems ( 0 Dok. )
• 81V05 Strong interaction, including quantum chromodynamics ( 0 Dok.)
• 81V10 Electromagnetic interaction; quantum electrodynamics ( 0 Dok.)
• 81V15 Weak interaction ( 0 Dok.)
• 81V17 Gravitational interaction ( 0 Dok.)
• 81V19 Other fundamental interactions ( 0 Dok.)
• 81V22 Unified theories ( 0 Dok.)
• 81V25 Other elementary particle theory ( 0 Dok.)
• 81V35 Nuclear physics ( 0 Dok.)
• 81V45 Atomic physics ( 0 Dok.)
• 81V55 Molecular physics, See also {92E10} ( 0 Dok.)
• 81V70 Many-body theory ( 0 Dok.)
• 81V80 Quantum optics ( 0 Dok.)
• 81V99 None of the above but in this section ( 0 Dok.)