zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2010

81-XX

Quantum theory 151001

81Qxx

General mathematical topics and methods in quantum theory 30111

81Q05

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 12624

81Q10

Selfadjoint operator theory in quantum theory, including spectral analysis 6166

81Q12

Non-selfadjoint operator theory in quantum theory 505

81Q15

Perturbation theories for operators and differential equations 1639

81Q20

Semiclassical techniques, including WKB and Maslov methods 3189

81Q30

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry [See also 14D05, 32S40] 984

81Q35

Quantum mechanics on special spaces: manifolds, fractals, graphs, etc. 1062

81Q37

Quantum dots, waveguides, ratchets, etc. 681

81Q40

Bethe-Salpeter and other integral equations 363

81Q50

Quantum chaos [See also 37Dxx] 2009

81Q60

Supersymmetry and quantum mechanics 2001

81Q65

Alternative quantum mechanics 423

81Q70

Differential-geometric methods, including holonomy, Berry and Hannay phases, etc. 1295

81Q80

Special quantum systems, such as solvable systems 514

81Q93

Quantum control 691

81Q99

None of the above, but in this section 1233

Overview

General mathematics

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory, homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximation and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum Theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

zbMATH — the first resource for mathematics

Examples

Fields

Operators

Mathematics Subject Classification – MSC2010

Overview