Volume 124, Number 6, December 2018
|Number of page(s)||5|
|Published online||08 January 2019|
Generalized Dirac oscillators with position-dependent mass
1 Department of Physics, Tamkang University - Tamsui 251, Taiwan, ROC
2 Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University - Ho Chi Minh City, Vietnam
3 Faculty of Applied Sciences, Ton Duc Thang University - Ho Chi Minh City, Vietnam
Received: 11 August 2018
Accepted: 3 December 2018
We study the -dimensional generalized Dirac oscillator with a position-dependent mass. In particular, bound states with zero energy as well as non-zero energy have been obtained for suitable choices of the mass function/oscillator interaction. It has also been shown that in the presence of an electric field, bound states exist if the magnitude of the electric field does not exceed a critical value.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Pm – Relativistic wave equations / 03.65.-w – Quantum mechanics
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