Classification of Solvable Feynman Path Integrals

1993/02/13 by Christian Grosche, Grosche, Christian, Frank Steiner +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9302053

13 pages, amstex, preprint DESY 92--189, and SISSA/1/93/FM

arxiv created 1993/02/13 · arxiv updated 2009/11/30

Abstract

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 ten years or so, 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. Explicit formulæ for the so-called basic path integrals are presented on which our general scheme to classify and calculate path integrals in quantum mechanics is based.

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