Volume 128, Number 3, November 2019
|Number of page(s)||5|
|Published online||24 January 2020|
GUP corrections to the Dirac oscillator in the external magnetic field
1 Department of Physics, Banasthali Vidyapeeth - Rajasthan, 304022, India
2 Sardar Vallabh Bhai Patel College (Veer Kunwar Singh University) - Bhabua, 821101, India
3 Department of Physics, Banaras Hindu University - Varanasi, 221005, India
Received: 29 September 2019
Accepted: 17 November 2019
We have studied the ()-dimensional Dirac oscillator (DO) in an external magnetic field in the framework of the generalized uncertainty principle (GUP). We have calculated the perturbative corrections for the first few energy levels. We show that the infinite degeneracy of lowest Landau level is partially lifted due to GUP correction and obtain a critical value of the magnetic field for which there is no GUP correction and the DO stops oscillating.
PACS: 03.65.Pm – Relativistic wave equations / 03.65.Ge – Solutions of wave equations: bound states / 04.60.Bc – Phenomenology of quantum gravity
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