81Qxx General mathematical topics and methods in quantum theory
- 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein- Gordon and other equations of quantum mechanics
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81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
(1)
- 81Q12 Non-selfadjoint operator theory in quantum theory
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81Q15 Perturbation theories for operators and differential equations
(1)
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81Q20 Semiclassical techniques, including WKB and Maslov methods
(2)
- 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40]
- 81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
- 81Q37 Quantum dots, waveguides, ratchets, etc.
- 81Q40 Bethe-Salpeter and other integral equations
- 81Q50 Quantum chaos [See also 37Dxx]
- 81Q60 Supersymmetry and quantum mechanics
- 81Q65 Alternative quantum mechanics
- 81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
- 81Q80 Special quantum systems, such as solvable systems
- 81Q93 Quantum control
- 81Q99 None of the above, but in this section