Mathematical Sciences Classification System

81Qxx - General mathematical topics and methods in quantum theory

  • 6
    81Q05
    Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
  • 28
    81Q10
    Selfadjoint operator theory in quantum theory, including spectral analysis
  • 3
    81Q12
    Non-selfadjoint operator theory in quantum theory
  • 1
    81Q15
    Perturbation theories for operators and differential equations
  • 12
    81Q20
    Semiclassical techniques, including WKB and Maslov methods
  • 11
    81Q30
    Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40]
  • 2
    81Q35
    Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
  • 81Q37
    Quantum dots, waveguides, ratchets, etc.
  • 81Q40
    Bethe-Salpeter and other integral equations
  • 8
    81Q50
    Quantum chaos [See also 37Dxx]
  • 4
    81Q60
    Supersymmetry and quantum mechanics
  • 1
    81Q65
    Alternative quantum mechanics
  • 2
    81Q70
    Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.
  • 1
    81Q80
    Special quantum systems, such as solvable systems
  • 4
    81Q93
    Quantum control
  • 2
    81Q99
    None of the above, but in this section

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