Solution of Effective-Mass Dirac Equation with Scalar-Vector and Pseudoscalar Terms for Generalized Hulth\'en Potential
Autor: | Altug Arda |
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Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: |
Computer Science::Machine Learning
Nuclear and High Energy Physics Article Subject Scalar (mathematics) FOS: Physical sciences 01 natural sciences Computer Science::Digital Libraries Spectral line Statistics::Machine Learning symbols.namesake Effective mass (solid-state physics) 0103 physical sciences 010306 general physics Mathematical Physics Mathematical physics Physics Quantum Physics 010308 nuclear & particles physics Normalizing constant Mathematical Physics (math-ph) lcsh:QC1-999 Pseudoscalar Dirac spinor Dirac equation Computer Science::Mathematical Software symbols Quantum Physics (quant-ph) lcsh:Physics |
Zdroj: | Advances in High Energy Physics Advances in High Energy Physics, Vol 2017 (2017) |
Popis: | We find the exact bound-state solutions and normalization constant for the Dirac equation with scalar-vector-pseudoscalar interaction terms for the generalized Hulth\'{e}n potential in the case where we have a particular mass function $m(x)$. We also search the solutions for the constant mass where the obtained results correspond to the ones when the Dirac equation has spin and pseudospin symmetry, respectively. After giving the obtained results for the non-relativistic case, we search then the energy spectra and corresponding upper and lower components of Dirac spinor for the case of $PT$-symmetric forms of the present potential. Comment: 21 pages, 1 Table |
Databáze: | OpenAIRE |
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