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Uspekhi Fizicheskikh Nauk, 2018, Volume 188, Number 9, Pages 992–996
DOI: https://doi.org/10.3367/UFNr.2017.09.038208 (Mi ufn6072) 		 
METHODOLOGICAL NOTES

Operator derivation of the quasiclassical Green's function

P. A. Krachkov, A. I. Milstein

Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.3367/UFNr.2017.09.038208
URL: https://www.ufn.ru/ru/articles/2018/9/e
Abstract: The quasiclassical Green's function for the Dirac equation for an arbitrary localized potential is derived systematically using the Fock–Schwinger proper time method. The method essentially consists of exponentially parameterizing the propagator and disentangling the operator expressions. It allows calculating both the leading quasiclassical contribution and the first quasiclassical correction to the Green's function.
Keywords: proper time method, operator technique, Green's function, quasiclassical approximation.
Funding agency Grant number
Russian Science Foundation 14-50-00080
This study was supported by RFBR grant no. 14-50-00080
Received: July 4, 2017
Accepted: September 27, 2017
English version:
Physics–Uspekhi, 2018, Volume 61, Issue 9, Pages 896–899
DOI: https://doi.org/10.3367/UFNe.2017.09.038208
Bibliographic databases:
Document Type: Article
PACS: 12.20.-m, 12.20.Ds
Language: Russian
Citation: P. A. Krachkov, A. I. Milstein, “Operator derivation of the quasiclassical Green's function”, UFN, 188:9 (2018), 992–996; Phys. Usp., 61:9 (2018), 896–899
Citation in format AMSBIB
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