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
Boudiaf, Nadira; Merdaci, Abdeldjalil; Chetouani, Lyazid
2022-06-26 00:00:00
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.pngZeitschrift für Naturforschung Ade Gruyterhttp://www.deepdyve.com/lp/de-gruyter/exact-path-integral-solutions-of-dirac-wave-equation-for-an-9sefywmt5Q
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.
Journal
Zeitschrift für Naturforschung A
– de Gruyter
Published: Jun 26, 2022
Keywords: Dirac equation; exponentially decaying magnetic field; path integral
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