https://doi.org/10.1140/epjp/i2019-12430-8
Regular Article
Complete non-relativistic bound state solutions of the Tietz-Wei potential via the path integral approach
Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université des frères Mentouri, Route d’Ain El Bey, Constantine, Algeria
* e-mail: guechilarbi@yahoo.fr
Received:
26
September
2018
Accepted:
23
November
2018
Published online:
7
February
2019
In this work, the bound state problem of some diatomic molecules in the Tietz-Wei potential with varying shapes is correctly solved by means of path integrals. Explicit path integration leads to the radial Green’s function in closed form for three different shapes of this potential. In each case, the energy equation and the wave functions are obtained from the poles of the radial Green’s function and their residues, respectively. Our results prove the importance of the optimization parameter ch in the study of this potential which has been completely ignored by the authors of the papers cited below. In the limit 
, the energy spectrum and the corresponding wave functions for the radial Morse potential are recovered.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
