Algebraic Approach and Coherent States for the Modified Dirac Oscillator in Curved Spacetime with Spin and Pseudospin Symmetries

TL;DR

This paper presents an exact algebraic solution for the modified Dirac oscillator in curved spacetime, revealing SU(1,1) symmetry, and explores the properties of its coherent states under spin and pseudospin symmetries.

Contribution

It introduces an algebraic method to solve the modified Dirac oscillator in curved spacetime and analyzes its coherent states, highlighting SU(1,1) symmetry.

Findings

Exact wave functions and energy spectrum derived

Identification of SU(1,1) symmetry in the problem

Construction and analysis of radial coherent states

Abstract

In this article we investigate and solve exactly the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries through an algebraic approach. By focusing on the radial part of this problem, we use the Schr\"odinger factorization method to show that this problem possesses an SU(1; 1) symmetry. This symmetry allowed us to obtain the wave functions and their corresponding energy spectrum. From these results, we calculate the radial coherent states of the modified Dirac oscillator and their temporal evolution in the spin and pseudospin limits, respectively.