Factorization approach to generalized Dirac oscillators

Jafar Sadeghi; S. P. Moshokoa; M. Rostami; F. Larijani

Jafar Sadeghi Department of Physics, Islamic Azad University - Ayatollah Amoli Branch, P.O.Box 678, Amol, Iran
S. P. Moshokoa Department of Mathematics and Statistics, Faculty of Science, Tshwane University of Technology, Arcadia Campus, Building 2-117, Nelson Mandela Drive, Pretoria 0001, South Africa
M. Rostami Department of Physics, Islamic Azad University - Ayatollah Amoli Branch, P.O.Box 678, Amol, Iran
F. Larijani Department of Physics, Islamic Azad University - Ayatollah Amoli Branch, P.O.Box 678, Amol, Iran

Keywords: Dirac oscillators; pseudo Hermitian; Factorization Method; Partner Potential

Abstract

We study generalized Dirac oscillators with complex interactions in (1+1) dimensions. It is shown that for the choice of interactions considered here, the Dirac Hamiltonians are pseudo Hermitian with respect to certain metric operators. Exact solutions of the generalized Dirac Oscillator for some choices of the interactions have also been obtained. It is also shown that generalized Dirac oscillators can be identified with Anti Jaynes Cummings type model and by spin flip it can also be identified with Jaynes Cummings type model.

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