Relativistic Symmetries in the Dirac Equation for an Eight-parameter Exponential-type Potential

2016 ◽  
Vol 66 (2) ◽  
pp. 199-210 ◽  
Author(s):  
H. P. OBONG ◽  
Akpan Ndem IKOT* ◽  
I. O. OWATE ◽  
Hassan HASSANABADI
Keyword(s):  
Dirac Equation ◽  
Exponential Type ◽  
Type Potential

Solution of the Dirac equation with exponential-type potential under the GUP

2021 ◽  
Vol 36 (01) ◽  
pp. 2150005
Author(s):  
Lin-Fang Deng ◽  
He-Yao Zhang ◽  
Chao-Yun Long
Keyword(s):  
Dirac Equation ◽  
Uncertainty Principle ◽  
Exponential Type ◽  
Generalized Uncertainty Principle ◽  
Pseudospin Symmetry ◽  
Heisenberg Uncertainty Principle ◽  
Heisenberg Uncertainty ◽  
Uvarov Method ◽  
Planck Energy ◽  
Type Potential

In quantum gravity theories, when the scattering energy is comparable to the Planck energy, the usual Heisenberg uncertainty principle breaks down and is replaced by generalized uncertainty principle (GUP). In this paper, the Dirac equation is studied for a single particle with spin and pseudospin symmetry in the presence of GUP, in [Formula: see text] dimensions. For arbitrary wave [Formula: see text], the Dirac equation with multiparameter exponential-type potential is solved by applying the approximation of the centrifugal term and the Nikiforov–Uvarov method. The corresponding energy spectra and eigenvalue function are obtained in the closed form and depend on the GUP parameter. In addition, several interesting cases have been discussed.

Study of B and B s mesons with a Coulomb plus exponential type potential

2016 ◽  
Vol 116 (3) ◽  
pp. 31004 ◽  
Author(s):  
B. H. Yazarloo ◽  
H. Mehraban
Keyword(s):  
Exponential Type ◽  
Type Potential

Pseudospin symmetry of the Dirac equation for a Möbius square plus Mie type potential with a Coulomb-like tensor interaction via SUSYQM

2014 ◽  
Vol 38 (1) ◽  
pp. 013101 ◽  
Author(s):  
Akpan N. Ikot ◽  
S. Zarrinkamar ◽  
Eno J. Ibanga ◽  
E. Maghsoodi ◽  
H. Hassanabadi
Keyword(s):  
Dirac Equation ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Type Potential
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