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< 81Pxx | 81-XX | 81Rxx >
81-XX Quantum theory
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
81Q10   Selfadjoint operator theory in quantum theory, including spectral analysis
81Q12   Nonselfadjoint operator theory in quantum theory including creation and destruction operators
81Q15   Perturbation theories for operators and differential equations in quantum theory
81Q20   Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81Q30   Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 05Cxx, 14D05, 32S40]
81Q35   Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices [See also 81R20]
81Q37   Quantum dots, waveguides, ratchets, etc. [See also 82D20, 82D77]
81Q40   Bethe-Salpeter and other integral equations arising in quantum theory
81Q50   Quantum chaos [See also 37D45]
81Q60   Supersymmetry and quantum mechanics
81Q65   Alternative quantum mechanics (including hidden variables, etc.)
81Q70   Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory
81Q80   Special quantum systems, such as solvable systems
81Q93   Quantum control
81Q99   None of the above, but in this section
< 81Pxx | 81-XX | 81Rxx >
 
 
American Mathematical Society