Analytical Solution of Dirac Equation for q-Deformed Hyperbolic Manning-Rosen Potential in D Dimensions using SUSY QM and its Thermodynamics'Application

The Dirac equation of q-deformed hyperbolic Manning Rosen potential in D dimension was solved by using Supersymmetric Quantum Mechanics (SUSY QM). The D dimensional relativistic energy spectra were obtained by using SUSY QM and shape invariant properties and D dimensional wave functions of q-deforme...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-08, Vol.739 (1), p.12023
Main Authors: Cari, C, Suparmi, A, Yunianto, M, Pratiwi, B N
Format: Article
Language:English
Subjects:
Deformation
Diatomic molecules
Dirac equation
Energy spectra
Error functions
Exact solutions
Jupiter
Operators (mathematics)
Partitions (mathematics)
Physics
Quantum mechanics
Relativistic effects
Wave functions
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Summary:The Dirac equation of q-deformed hyperbolic Manning Rosen potential in D dimension was solved by using Supersymmetric Quantum Mechanics (SUSY QM). The D dimensional relativistic energy spectra were obtained by using SUSY QM and shape invariant properties and D dimensional wave functions of q-deformed hyperbolic Manning Rosen potential were obtained by using the SUSY raising and lowering operators. In the nonrelativistic limit, the relativistic energy spectra for exact spin symmetry case reduced into nonrelativistic energy spectra and so for the wave functions. In the classical regime, the partition function, the vibrational specific heat, and the vibrational mean energy of some diatomic molecules were calculated from the non-relativistic energy spectra with the help of error function and imaginary error function.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/739/1/012023