Feynman kernel analytical solutions for the deformed hyperbolic barrier potential with application to some diatomic molecules

Abstract In this paper, we derive the ℓ -states energy spectrum of the q-deformed hyperbolic Barrier Potential. Within the Feynman path integral formalism, we propose an appropriate approximation of the centrifugal term. Then, using Euler angles and the isomorphism between Λ 3 and SU (1, 1), we conv...

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Bibliographic Details
Published inPhysica scripta Vol. 96; no. 12; pp. 125260 - 125271
Main Authors M’hamed Ezzine, M, Hachama, M, Diaf, A
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2021
Subjects
diatomic molecules
feynman kernel
l-states
q-deformed hyperbolic barrier Potential
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Summary:Abstract In this paper, we derive the ℓ -states energy spectrum of the q-deformed hyperbolic Barrier Potential. Within the Feynman path integral formalism, we propose an appropriate approximation of the centrifugal term. Then, using Euler angles and the isomorphism between Λ 3 and SU (1, 1), we convert the radial path integral into a maniable one. The obtained eigenvalues are in very good agreement with the numerical results. In addition, we applied our results to some diatomic molecules and obtained accurate results compared to the experimental (RKR) values.
Bibliography:PHYSSCR-116160.R1
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ac3c57