81-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to quantum theory 28
81-03 History of quantum theory [Consider also classification numbers pertaining to Section 01-XX] 1440
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) [See also 03G12, 06C15] 2383
81P45 Quantum information, communication, networks (quantum-theoretic aspects) [See also 94A15, 94A17] 4537
81P73 Computational stability and error-correcting codes for quantum computation and communication processing 86
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 13274
81Q12 Nonselfadjoint operator theory in quantum theory including creation and destruction operators 581
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory 3355
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40] 1049
81Q35 Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices [See also 81R20] 1250
81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory 1371
81R05 Finite-dimensional groups and algebras motivated by physics and their representations [See also 20C35, 22E70] 4618
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations [See also 17B65, 17B67, 22E65, 22E67, 22E70] 4513
81R12 Groups and algebras in quantum theory and relations with integrable systems [See also 17Bxx, 37J35] 3564
81R20 Covariant wave equations in quantum theory, relativistic quantum mechanics [See also 81Q35] 1018
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory [See also 16T20, 17B37] 6139
81S30 Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics 2031
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory [See also 83E30] 15843