Feynman path integral for an infinite potential barrier

Autor:	Chenhong Huang, Zuoguo Wu, Robert D. Nevels
Rok vydání:	1993
Předmět:	Physics symbols.namesake Numerical analysis Path integral formulation symbols Propagator Feynman diagram Applied mathematics Functional integration Eigenfunction Fractional quantum mechanics Series expansion Atomic and Molecular Physics and Optics
Zdroj:	Physical Review A. 48:3445-3451
ISSN:	1094-1622 1050-2947
DOI:	10.1103/physreva.48.3445
Popis:	It is proposed that each of several analytical techniques used to evaluate the path integral when a spinless particle encounters an infinite potential barrier relies on more constraints than is necessary. We review the image, forbidden-paths, and eigenfunction-expansion methods, and the infinitesimal-propagator method is developed herein. It is then shown that the latter two methods contain assumptions leading to extra terms in the path-integral integrand which serve only to aid in the analytical evaluation of the path integral but which do not affect the outcome of that evaluation. The analytical arguments are further confirmed by a recently developed numerical method that, for a limited number of cases, is a direct evaluation of the path integral.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b1d0b39c84c632208011f2fcba41c9 https://doi.org/10.1103/physreva.48.3445 Zobrazit plný text záznamu