Analytical solution of the Dirac equation for the hyperbolic potential by the extended Nikiforov-Uvarov method

. The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that the Dirac equation is reduced to the confluent Heun equation. Then eigenfunct...

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Bibliographic Details
Published in:European physical journal plus 2019-09, Vol.134 (9), p.452, Article 452
Main Author: Karayer, H.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Boundary conditions
Charged particles
Complex Systems
Condensed Matter Physics
Coordinate transformations
Dirac equation
Eigenvectors
Exact solutions
Mathematical analysis
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Polynomials
Potential fields
Quantum dots
Regular Article
Symmetry
Theoretical
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Summary:. The eigenstate solutions of the Dirac equation for the hyperbolic-type potential field in the case of pseudospin symmetry have been achieved by the extended Nikiforov-Uvarov (NU) method analytically. It is presented that the Dirac equation is reduced to the confluent Heun equation. Then eigenfunction solution is obtained in terms of confluent Heun polynomials.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2019-12828-2