81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 13241
81Q12 Nonselfadjoint operator theory in quantum theory including creation and destruction operators 575
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory 3341
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40] 1045
81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices [See also 81R20] 1238
81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory 1369