Topics in quantum mechanics

zbMath1026.81001MaRDI QIDQ1871414

Floyd L. Williams

Publication date: 8 May 2003

Published in: Progress in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionshydrogen atomzeta functiongauge theoryquantum mechanicsharmonic oscillatorselection rulesquantum statistical mechanicsFeynman path integralsrepresentation of groups

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Schrödinger operator, Schrödinger equation (35J10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lagrange's equations (70H03) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)

Related Items (3)

Shooting function for 1D Schrödinger operators ⋮ Complete and orthonormal sets of exponential-type orbitals with non-integer quantum numbers ⋮ Hierarchy of the Selberg zeta functions

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