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arXiv:quant-ph/9811023 · To be published in the proceedings of

A History of Feynman's Sum over Histories in Quantum Mechanics

Akira Inomata, Georg Junker

Published Nov 10, 1998• 0 citations
arXivHTMLPDF

Abstract

A history of Feynman's sum over histories is presented in brief. A focus is placed on the progress of path-integration techniques for exactly path-integrable problems in quantum mechanics.
DOI
10.48550/arxiv.quant-ph/9811023

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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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