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

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Salazar-Ramírez, M, Ojeda-Guillén, D, Martínez-Nuño, J A, Ramírez-Espinoza, R I
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.05.2024
Subjects
Algebra
Energy spectra
Oscillators
Physics - Physics Education
Physics - Quantum Physics
Symmetry
Wave functions
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2405.11415