Eur. Phys. J. Plus (2015) 130: 200
https://doi.org/10.1140/epjp/i2015-15200-8

Regular Article

A generalized interaction in noncommutative space: Both relativistic and nonrelativistic fields

¹ Physics Department, University of Shahrood, P.O. Box 3619995161-316, Shahrood, Iran
² Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

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

Received: 16 July 2015
Revised: 17 August 2015
Accepted: 7 September 2015
Published online: 13 October 2015

Abstract

We investigate nonrelativistic Schrödinger and relativistic Dirac equations with a rather general interaction, which includes harmonic, linear, Coulomb and inverse square term, in the noncommutative space (NCS) and report the spectrum of the system as well as the associated wave function in a quasi-exact analytical manner.