Eur. Phys. J. Plus (2013) 128: 25
https://doi.org/10.1140/epjp/i2013-13025-1

Regular Article

Minimal length Dirac equation revisited

¹³¹⁶ Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
²³¹⁶ Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

^* e-mail: h.hasanabadi@shahroodut.ac.ir

Received: 13 January 2013
Revised: 11 February 2013
Accepted: 12 February 2013
Published online: 1 March 2013

Abstract

We will show that the Dirac equation under the assumption of a generalized uncertainty principle corresponds to a Schrödinger-like equation with a new effective potential. Next, as typical examples, the potential well and the step potential are studied in an exact analytical manner. The scattering problems as well as the reflection and transmission parameters are reported.