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Path Integrals in Quantum Mechanics - Oxford Scholarship Online
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Path Integrals in Quantum Mechanics

Jean Zinn-Justin


Path integrals are mathematical objects that can be considered as generalizations to an infinite number of variables, represented by paths, of usual integrals. They share the algebraic properties of usual integrals, but have new properties from the viewpoint of analysis. They are powerful tools for the study of quantum mechanics, since they emphasize very explicitly the correspondence between classical and quantum mechanics. Physical quantities are expressed as averages over all possible paths but, in the semi-classical limit, the leading contributions come from paths close to classical paths. ... More

Keywords: path integrals, variables, quantum mechanics, semi-classical limit, physical quantities, scattering processes, spectral properties, barrier penetration effects

Bibliographic Information

Print publication date: 2004 Print ISBN-13: 9780198566748
Published to Oxford Scholarship Online: January 2010 DOI:10.1093/acprof:oso/9780198566748.001.0001


Affiliations are at time of print publication.

Jean Zinn-Justin, author
Head of Dapnia/DSM/CEA-Saclay, France