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Exact Solutions of Effective Mass Dirac Equation with Non-PT-Symmetric and Non-Hermitian Exponential-type Potentials |
| Altug Arda1, Ramazan Sever2 |
| 1Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey2Department of Physics, Middle East Technical University, 06800, Ankara,Turkey |
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Altug Arda, Ramazan Sever 2009 Chin. Phys. Lett. 26 090305 |
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Abstract By using a two-component approach to the one-dimensional effective mass Dirac equation, bound states are investigated under the effect of two new non-PT-symmetric and non-Hermitian exponential type potentials. It is observed that the Dirac equation can be mapped into a Schrödinger-like equation by rescaling one of the two Dirac wave functions in the case of the position-dependent mass. The energy levels and the corresponding Dirac eigenfunctions are found analytically.
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| Keywords:
03.65.-w
03.65.Ge
12.39.Fd
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Received: 18 May 2009
Published: 28 August 2009
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