caa a22 4500 463195493 CHVBK 20180406164921.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10773-006-9290-1 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9290-1 The (1+1) Dimensional Dirac Equation With Pseudoscalar Potentials: Path Integral Treatment [Elektronische Daten] [S. Haouat, L. Chetouani] The supersymetric path integrals in solving the problem of relativistic spinning particle interacting with pseudoscalar potentials is examined. The relative propagator is presented by means of path integral, where the spin degrees of freedom are described by odd Grassmannian variables and the gauge invariant part of the effective action has a form similar to the standard pseudoclassical action given by Berezin and Marinov. After integrating over fermionic variables (Grassmannian variables), the problem is reduced to a nonrelativistic one with an effective supersymetric potential. Some explicit examples are considered, where we have extracted the energy spectrum of the electron and the wave functions. Springer Science+Business Media, LLC, 2007 Haouat S. Département des Physique, Faculté de Sciences Exactes, Université Mentouri, Route Ain El-Bey, 25000, Constantine, Algérie aut Chetouani L. Département des Physique, Faculté de Sciences Exactes, Université Mentouri, Route Ain El-Bey, 25000, Constantine, Algérie aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1528-1541 0020-7748 46:6<1528 2007 46 10773 https://doi.org/10.1007/s10773-006-9290-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9290-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Haouat S. Département des Physique, Faculté de Sciences Exactes, Université Mentouri, Route Ain El-Bey, 25000, Constantine, Algérie aut NATIONALLICENCE 700 1- Chetouani L. Département des Physique, Faculté de Sciences Exactes, Université Mentouri, Route Ain El-Bey, 25000, Constantine, Algérie aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1528-1541 0020-7748 46:6<1528 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer