Complete nonrelativistic bound state solutions of the TietzWei potential via the path integral approach
Abstract
In this work, the bound state problem of some diatomic molecules in the TietzWei 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 the optimization parameter $c_{h}$ in the study of this potential which has been completely ignored by the authors of the papers cited below. In the limit $c_{h}\rightarrow 0$, the energy spectrum and the corresponding wave functions for the radial Morse potential are recovered.
 Publication:

arXiv eprints
 Pub Date:
 November 2019
 arXiv:
 arXiv:1911.12392
 Bibcode:
 2019arXiv191112392K
 Keywords:

 Quantum Physics
 EPrint:
 15 pages