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

TL;DR

This paper derives exact solutions for the Klein-Gordon equation with linear potentials considering a minimal length, providing insights into quantum mechanics modifications at small scales.

Contribution

It presents the first exact solutions of the Klein-Gordon equation incorporating a minimal length, using an algebraic approach.

Findings

Exact solutions obtained for the Klein-Gordon equation with minimal length.

Algebraic method applied successfully to the problem.

Potential implications for quantum gravity theories.

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.