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Generalized Feynman Path Integration

Lukong Cornelius Fai

Published Feb 19, 2021• 0 citations

Abstract

The transition amplitudes 4.47 and 4.82 of chapter 4 may be generalized for a problem with s degrees of freedom that may be described by a set of operators q ̂ = q ̂ α α = 1 s , p ̂ = p ̂ α α = 1 s https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/875ff22b-09e9-4373-a808-2051f13516c8/content/eqni6_1.jpg"/> : 6.1 Κ q ″ , t ″ ; q ′ , t ′ = ∫ ∏ α = 1 s D p α D q α exp i ℏ ∫ t ′ t ″ ∑ α = 1 s p α q . α − Η p q d t https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003145554/875ff22b-09e9-4373-a808-2051f13516c8/content/eqn6_1.jpg"/>

DOI: 10.1201/9781003145554-6

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