Investigation of bound state energy spectra for fermionic particles in the presence of ultra generalized exponential hyperbolic potential model

By considering the ultra generalized exponential hyperbolic potential, which covers many potential types, the solutions of the Dirac equation with spin/pseudo-spin symmetric limits are achieved. In both approaches, the relation giving the bound state energy eigenvalues is obtained in a closed form....

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Bibliographic Details
Published in:European physical journal plus 2024-04, Vol.139 (4), p.361, Article 361
Main Author: Taş, Ahmet
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Approximation
Atomic
Complex Systems
Condensed Matter Physics
Dirac equation
Eigenvalues
Energy
Energy spectra
Energy value
Limit states
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Parameter identification
Physics
Physics and Astronomy
Regular Article
Software
Symmetry
Theoretical
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Summary:By considering the ultra generalized exponential hyperbolic potential, which covers many potential types, the solutions of the Dirac equation with spin/pseudo-spin symmetric limits are achieved. In both approaches, the relation giving the bound state energy eigenvalues is obtained in a closed form. By using these relations, the energy values are calculated numerically for both symmetry cases via the software program. In addition, it has been identified how the bound state energy eigenvalues depend on the parameters. Besides, the energy equations for the Schrödinger and Klein–Gordon particles in the limit states are derived.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-024-05152-9