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Exact path integral solutions of Dirac wave equation for an exponentially decaying magnetic field

Exact path integral solutions of Dirac wave equation for an exponentially decaying magnetic field AbstractThe Green’s functions related to a Dirac electron and its corresponding antiparticle, i.e., the positron submitted to an exponentially decaying magnetic field in (2 + 1) coordinate space are analytically calculated via path integral formalism. The energy spectra for both discrete and continuous phenomena, as well as the corresponding normalized eigenspinors are extracted following this approach from the known Morse potential propagator. The interesting properties of the spinors are thus deduced after symmetrization of the Green’s functions. Special cases are also considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für Naturforschung A de Gruyter

Exact path integral solutions of Dirac wave equation for an exponentially decaying magnetic field

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Publisher
de Gruyter
Copyright
© 2022 Walter de Gruyter GmbH, Berlin/Boston
ISSN
0932-0784
eISSN
1865-7109
DOI
10.1515/zna-2021-0304
Publisher site
See Article on Publisher Site

Abstract

AbstractThe Green’s functions related to a Dirac electron and its corresponding antiparticle, i.e., the positron submitted to an exponentially decaying magnetic field in (2 + 1) coordinate space are analytically calculated via path integral formalism. The energy spectra for both discrete and continuous phenomena, as well as the corresponding normalized eigenspinors are extracted following this approach from the known Morse potential propagator. The interesting properties of the spinors are thus deduced after symmetrization of the Green’s functions. Special cases are also considered.

Journal

Zeitschrift für Naturforschung Ade Gruyter

Published: Jun 26, 2022

Keywords: Dirac equation; exponentially decaying magnetic field; path integral

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