Eur. Phys. J. Plus (2016) 131: 378
https://doi.org/10.1140/epjp/i2016-16378-9

Regular Article

Solutions of the Schrödinger equation under topological defects space-times and generalized uncertainty principle

Department of Physics, Guizhou University, 550025, Guiyang, China

^* e-mail: longchaoyun66@163.com

Received: 14 July 2016
Accepted: 1 October 2016
Published online: 27 October 2016

Abstract

We study the behavior of non-relativistic quantum particles interacting with the linear potential plus the Coulomb potential (LCP) and Kratzer potential under the generalized uncertainty principle (GUP) and the cosmic string space-time. By using the functional Bethe ansatz method, we give closed-form solutions for the energies and the wave functions. The allowed potential parameters have been discussed and the corresponding constraint equations have been obtained.