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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   Non-selfadjoint operator theory in quantum theory
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]
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
< 81Pxx | 81-XX | 81Rxx >
 
 
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American Mathematical Society
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