Pseudo Hermitian Generalized Dirac Oscillators

D. Dutta; O. Panella; P. Roy

doi:10.1016/j.aop.2013.01.001

Pseudo Hermitian Generalized Dirac Oscillators

Mathematical Physics 2013-01-31 v1 High Energy Physics - Theory math.MP Quantum Physics

Authors: D. Dutta , O. Panella , P. Roy

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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 $\eta$ pseudo Hermitian with respect to certain metric operators $\eta$ . 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.

Keywords

dirac equation and dirac operator non-hermitian quantum mechanics fermionic models

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@article{arxiv.1301.2035,
  title  = {Pseudo Hermitian Generalized Dirac Oscillators},
  author = {D. Dutta and O. Panella and P. Roy},
  journal= {arXiv preprint arXiv:1301.2035},
  year   = {2013}
}

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To appear in Annals of Physics (Elsevier)

Pseudo Hermitian Generalized Dirac Oscillators

Abstract

Keywords

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