Dirac equation exact solutions for generalized asymmetrical Hartmann potentials

TL;DR

This paper derives exact bound state solutions for the Dirac equation with generalized Hartmann potentials, expanding understanding of relativistic quantum systems with specific potential configurations.

Contribution

It provides new exact solutions for the Dirac equation with mixed vector and scalar Hartmann potentials, including special cases like Morse-like potentials.

Findings

Exact bound state solutions obtained

Analysis of quasi-exactly solvable potentials included

Potential applications in relativistic quantum mechanics

Abstract

In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided the vector potential is equal to or minus the scalar potential. The cases of some quasi-exactly solvable and Morse-like potentials are briefly commented.