Exact solution of the Klein Gordon equation in the presence of a minimal length

Abstract

We obtain exact solutions of the (1+1) dimensional Klein Gordon equation with linear vector and scalar potentials in the presence of a minimal length. Algebraic approach to the problem has also been studied.

References in corpus (3)

• Hydrogen-atom spectrum under a minimal-length hypothesis
• Shape invariance approach to exact solutions of the Klein-Gordon equation
• Minimal Length Uncertainty Relations and New Shape Invariant Models

Cited by in corpus (2)

• Singular inverse square potential in coordinate space with a minimal length
• Solutions of the Bogoliubov-de Gennes equation with position dependent Fermi--velocity and gap profiles