An operator derivation of the quasiclassical Green's function

P.A. Krachkov, A.I. Mil’shtein
Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Lavrenteva 11, Novosibirsk, 630090, Russian Federation

The quasiclassical Green's function for the Dirac equation for an arbitrary localized potential is consistently derived using the Fock—Schwinger proper time method. The method essentially consists of exponentially parametrizing the propagator and disentangling the operator expressions. It allows calculating both the main quasiclassical contribution to and the first quasiclassical correction for the Green's function.

Keywords: proper time method, operator technique, Green's function, quasiclassical approximation
PACS: 12.20.−m, 12.20.Ds (all)
DOI: 10.3367/UFNe.2017.09.038208
URL: https://ufn.ru/en/articles/2018/9/d/
Web of Science

000452480000004
Scopus

2-s2.0-85058469849
ADS NASA

2018PhyU...61..896K
Citation: Krachkov P A, Mil’shtein A I "An operator derivation of the quasiclassical Green's function" Phys. Usp. 61 896–899 (2018)

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Received: 4th, July 2017, accepted: 27th, September 2017

Оригинал: Крачков П А, Мильштейн А И «Вывод квазиклассической функции Грина с помощью операторного метода» УФН 188 992–996 (2018); DOI: 10.3367/UFNr.2017.09.038208

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