81P16 Quantum state spaces, operational and probabilistic concepts

81P20 Stochastic mechanics (including stochastic electrodynamics)

81P40 Quantum coherence, entanglement, quantum correlations

81P45 Quantum information, communication, networks [See also <a href="#code:94A15">94A15</a>, <a href="#code:94A17">94A17</a>]

81P50 Quantum state estimation, approximate cloning

81P68 Quantum computation  [See also <a href="#code:68Q05">68Q05</a>, <a href="#code:68Q12">68Q12</a>]

81P94 Quantum cryptography [See also <a href="#code:94A60">94A60</a>]

81P99 None of the above, but in this section

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 [See also <a href="#code:14D05">14D05</a>, <a href="#code:32S40">32S40</a>]

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 [See also <a href="#code:37Dxx">37Dxx</a>]

81Q60 Supersymmetry and quantum mechanics

81Q70 Differential-geometric methods, including holonomy, Berry and Hannay phases, etc.

81Q80 Special quantum systems, such as solvable systems

81Q99 None of the above, but in this section

81Rxx Groups and algebras in quantum theory

81R05 Finite-dimensional groups and algebras motivated by physics and their representations [See also <a href="#code:20C35">20C35</a>, <a href="#code:22E70">22E70</a>]

81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations [See also <a href="#code:17B65">17B65</a>, <a href="#code:17B67">17B67</a>, <a href="#code:22E65">22E65</a>, <a href="#code:22E67">22E67</a>, <a href="#code:22E70">22E70</a>]