|
81-XX
|
Quantum theory
|
|
81-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
|
81-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
|
81-02
|
Research exposition (monographs, survey articles)
|
|
81-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
|
81-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
|
81-05
|
Experimental papers
|
|
81-06
|
Proceedings, conferences, collections, etc.
|
|
81-08
|
Computational methods
|
|
81Pxx
|
Axiomatics, foundations, philosophy
|
|
81P05
|
General and philosophical
|
|
81P10
|
Logical foundations of quantum mechanics; quantum logic
[See also
03G12,
06C15]
|
|
81P15
|
Quantum measurement theory
|
|
81P20
|
Stochastic mechanics (including stochastic electrodynamics)
|
|
81P68
|
Quantum computation and quantum cryptography
[See also
68Q05,
94A60]
|
|
81P99
|
None of the above, but in this section
|
|
81Qxx
|
General mathematical topics and methods in quantum theory
|
|
81Q05
|
Closed and approximate solutions to the Schr\"odinger, Dirac, Klein - Gordon and other quantum-mechanical equations
|
|
81Q10
|
Selfadjoint operator theory in quantum theory, including spectral analysis
|
|
81Q15
|
Perturbation theories for operators and differential equations
|
|
81Q20
|
Semiclassical techniques including WKB and Maslov methods
|
|
81Q30
|
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
[See also
14D05,
32S40]
|
|
81Q40
|
Bethe - Salpeter and other integral equations
|
|
81Q50
|
Quantum chaos
[See also
37Dxx]
|
|
81Q60
|
Supersymmetric quantum mechanics
|
|
81Q70
|
Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
|
|
81Q99
|
None of the above, but in this section
|
|
81Rxx
|
Groups and algebras in quantum theory
|
|
81R05
|
Finite-dimensional groups and algebras motivated by physics and their representations
[See also
20C35,
22E70]
|
|
81R10
|
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac - Moody, W-algebras and other current algebras and their representations
[See also
17B65,
17B67,
22E65,
22E67,
22E70]
|
|
81R12
|
Relations with integrable systems
[See also
17Bxx,
37J35]
|
|
81R15
|
Operator algebra methods
[See also
46Lxx,
81T05]
|
|
81R20
|
Covariant wave equations
|
|
81R25
|
Spinor and twistor methods
[See also
32L25]
|
|
81R30
|
Coherent states
[See also
22E45];
squeezed states
[See also
81V80]
|
|
81R40
|
Symmetry breaking
|
|
81R50
|
Quantum groups and related algebraic methods
[See also
16W30,
17B37]
|
|
81R60
|
Noncommutative geometry
|
|
81R99
|
None of the above, but in this section
|
|
81Sxx
|
General quantum mechanics and problems of quantization
|
|
81S05
|
Commutation relations and statistics
|
|
81S10
|
Geometry and quantization, symplectic methods
[See also
53D50]
|
|
81S20
|
Stochastic quantization
|
|
81S25
|
Quantum stochastic calculus
|
|
81S30
|
Phase space methods including Wigner distributions, etc.
|
|
81S40
|
Path integrals
[See also
58D30]
|
|
81S99
|
None of the above, but in this section
|
|
81Txx
|
Quantum field theory; related classical field theories
[See also
70Sxx]
|
|
81T05
|
Axiomatic quantum field theory; operator algebras
|
|
81T08
|
Constructive quantum field theory
|
|
81T10
|
Model quantum field theories
|
|
81T13
|
Yang - Mills and other gauge theories
[See also
53C07,
58E15]
|
|
81T15
|
Perturbative methods of renormalization
|
|
81T16
|
Nonperturbative methods of renormalization
|
|
81T17
|
Renormalization group methods
|
|
81T18
|
Feynman diagrams
|
|
81T20
|
Quantum field theory on curved space backgrounds
|
|
81T25
|
Quantum field theory on lattices
|
|
81T27
|
Continuum limits
|
|
81T30
|
String and superstring theories; other extended objects (e.g., branes)
[See also
83E30]
|
|
81T40
|
Two-dimensional field theories, conformal field theories, etc.
|
|
81T45
|
Topological field theories
[See also
57R56,
58Dxx]
|
|
81T50
|
Anomalies
|
|
81T60
|
Supersymmetric field theories
|
|
81T70
|
Quantization in field theory; cohomological methods
[See also
58D29]
|
|
81T75
|
Noncommutative geometry methods
[See also
46L85,
46L87,
58B34]
|
|
81T80
|
Simulation and numerical modeling
|
|
81T99
|
None of the above, but in this section
|
|
81Uxx
|
Scattering theory
[See also
34A55,
34L25,
34L40,
35P25,
47A40]
|
|
81U05
|
2-body potential scattering theory
{For WKB methods, see also
34E20}
|
|
81U10
|
n-body potential scattering theory
|
|
81U15
|
Exactly and quasi-solvable systems
|
|
81U20
|
S-matrix theory, etc.
|
|
81U30
|
Dispersion theory, dispersion relations
|
|
81U40
|
Inverse scattering problems
|
|
81U99
|
None of the above, but in this section
|
|
81Vxx
|
Applications to specific physical systems
|
|
81V05
|
Strong interaction, including quantum chromodynamics
|
|
81V10
|
Electromagnetic interaction; quantum electrodynamics
|
|
81V15
|
Weak interaction
|
|
81V17
|
Gravitational interaction
[See also
83Cxx
and
83Exx]
|
|
81V19
|
Other fundamental interactions
|
|
81V22
|
Unified theories
|
|
81V25
|
Other elementary particle theory
|
|
81V35
|
Nuclear physics
|
|
81V45
|
Atomic physics
|
|
81V55
|
Molecular physics
[See also
92E10]
|
|
81V70
|
Many-body theory ; quantum Hall effect
|
|
81V80
|
Quantum optics
|
|
81V99
|
None of the above, but in this section
|