The Klein paradox and the zitterbewegung of an electron in a field with a constant scalar potential

The zitterbewegung of an electron in the case of a field with a constant nonzero scalar potential is examined. The relationship of the average velocity of the particle and its momentum is discussed, and also the relation between the energy and the scalar potential. It is shown that taking this relationship into account enables one to resolve the well-known Klein paradox in Dirac's relativistic quantum theory of the electron.

PACS: 03.65.Pm, 02.30.Em (all)
DOI: 10.1070/PU1993v036n05ABEH002182
URL: https://ufn.ru/en/articles/1993/5/e/
Citation: Vonsovskii S V, Svirskii M S "The Klein paradox and the zitterbewegung of an electron in a field with a constant scalar potential" Phys. Usp. 36 (5) 436–439 (1993)

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RT Journal
T1 The Klein paradox and the zitterbewegung of an electron in a field with a constant scalar potential
A1 Vonsovskii,S.V.
A1 Svirskii,M.S.
PB Physics-Uspekhi
PY 1993
FD 10 May, 1993
JF Physics-Uspekhi
JO Phys. Usp.
VO 36
IS 5
SP 436-439
DO 10.1070/PU1993v036n05ABEH002182
LK https://ufn.ru/en/articles/1993/5/e/

Оригинал: Вонсовский С В, Свирский М С «Парадокс Клейна и дрожащее движение электрона в поле с постоянным скалярным потенциалом» УФН 163 (5) 115–118 (1993); DOI: 10.3367/UFNr.0163.199305e.0115