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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