How to solve path integrals in quantum mechanics | Zendy

Christian Grosche | Zendy; Frank Steiner | Zendy

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How to solve path integrals in quantum mechanics

Author(s) -

Christian Grosche,

Frank Steiner

Publication year - 1995

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.531043

Subject(s) - path integral formulation , feynman diagram , relation between schrödinger's equation and the path integral formulation of quantum mechanics , path (computing) , mathematics , volume integral , order of integration (calculus) , slater integrals , quantum , calculus (dental) , mathematical analysis , quantum mechanics , physics , mathematical physics , integral equation , computer science , medicine , dentistry , programming language

A systematic classification of Feynman path integrals in quantum mechanics is presented and a table of solvable path integrals is given which reflects the progress made during the last 15 years, including, of course, the main contributions since the invention of the path integral by Feynman in 1942. An outline of the general theory is given which will serve as a quick reference for solving path integrals. Explicit formulas for the so‐called basic path integrals are presented on which the general scheme to classify and calculate path integrals in quantum mechanics is based.

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