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  • 81-XX Quantum theory
  • 81Qxx General mathematical topics and methods in quantum theory
  • 81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.

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
  • 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
  • 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
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