Semiclassical collision theory within the Feynman path-integral formalism. II. Application to vibrational excitation

1974 ◽  
Vol 9 (3) ◽  
pp. 1136-1142 ◽  
Author(s):  
A. P. Penner ◽  
R. Wallace
Keyword(s):  
Path Integral ◽  
Vibrational Excitation ◽  
Collision Theory ◽  
Feynman Path Integral ◽  
Integral Formalism ◽  
Feynman Path ◽  
Path Integral Formalism

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

2021 ◽  
Author(s):  
Mohamed M'Hamed Ezzine ◽  
Mohammed Hachama ◽  
Ahmed Diaf
Keyword(s):  
Energy Spectrum ◽  
Path Integral ◽  
Diatomic Molecules ◽  
Euler Angles ◽  
Centrifugal Term ◽  
Feynman Path Integral ◽  
Integral Formalism ◽  
Feynman Path ◽  
Barrier Potential ◽  
Good Agreement

Abstract In this paper, we derive the `-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 S3and 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.

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