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An operator derivation of the quasiclassical Green's function

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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.

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Fulltext is also available at DOI: 10.3367/UFNe.2017.09.038208
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/
000452480000004
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Citation: Krachkov P A, Mil’shtein A I "An operator derivation of the quasiclassical Green's function" Phys. Usp. 61 896–899 (2018)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI An operator derivation of the quasiclassical Green's function
AU Krachkov P A
FAU Krachkov PA
AU Mil’shtein A I
FAU Mil’shtein AI
DP 10 Sep, 2018
TA Phys. Usp.
VI 61
IP 9
PG 896-899
RX 10.3367/UFNe.2017.09.038208
URL https://ufn.ru/en/articles/2018/9/d/
SO Phys. Usp. 2018 Sep 10;61(9):896-899

Received: 4th, July 2017, 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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