1 ETA EXPANSION FOR THE BINDING-ENERGIES OF FINITE-DEPTH POTENTIALS/

Citation
M. Bag et al., 1 ETA EXPANSION FOR THE BINDING-ENERGIES OF FINITE-DEPTH POTENTIALS/, Chemical physics letters, 222(1-2), 1994, pp. 46-50
Citations number
27
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
Journal title
ISSN journal
00092614
Volume
222
Issue
1-2
Year of publication
1994
Pages
46 - 50
Database
ISI
SICI code
0009-2614(1994)222:1-2<46:1EEFTB>2.0.ZU;2-L
Abstract
We present a systematic perturbative method for calculating the bindin g energies of ro-vibrational quantum states for a finite depth potenti al. Using an asymptotic expansion in powers of 1/eta, where eta is the dimensionless physical depth parameter, explicit calculations are per formed. Our analytic results lead to highly convergent series for the binding energies, and numerical results for realistic potentials such as Morse and Lennard-Jones potentials are found to be in excellent agr eement with the exact ones.