Energies Spectra and Thermodynamic Properties of Hyperbolic Pöschl–Teller Potential (HPTP) Model

We solved the Dirac equation using modified factorization method with hyperbolic Pöschl–Teller potential model. Relativistic and non-relativistic ro-vibrational energy spectra were obtained and numerical solutions for four diatomic molecules HCl , H 2 , CO and LiH obtained also. The eigenfunction fo...

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Bibliographic Details
Published in:International journal of thermophysics 2020, Vol.41 (7), Article 91
Main Authors: Okorie, U. S., Ikot, A. N., Chukwuocha, E. O., Onyeaju, M. C., Amadi, P. O., Sithole, M. J., Rampho, G. J.
Format: Article
Language:English
Subjects:
Classical Mechanics
Condensed Matter Physics
Diatomic molecules
Dirac equation
Eigenvectors
Energy spectra
Free energy
Geophysics
Hypergeometric functions
Industrial Chemistry/Chemical Engineering
Internal energy
Partitions (mathematics)
Physical Chemistry
Physics
Physics and Astronomy
Quantum numbers
Relativistic effects
Thermodynamic properties
Thermodynamics
Upper bounds
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Summary:We solved the Dirac equation using modified factorization method with hyperbolic Pöschl–Teller potential model. Relativistic and non-relativistic ro-vibrational energy spectra were obtained and numerical solutions for four diatomic molecules HCl , H 2 , CO and LiH obtained also. The eigenfunction for this potential has been obtained in terms of hypergeometric function. The energy variations with different potential parameters and quantum numbers of the hyperbolic Pöschl–Teller potential are also plotted. In addition, we evaluate the vibrational partition function and other thermodynamic properties such as vibrational internal energy, vibrational free energy, vibrational entropy and vibrational specific heat capacity, in terms of temperature and upper bound vibration quantum number. Our results are consistent with those found in the available literature.
ISSN:0195-928X
1572-9567
DOI:10.1007/s10765-020-02671-2