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1/η expansion for the binding energies of finite-depth potentials

✍ Scribed by M. Bag; M.M. Panja; R. Dutt; Y.P. Varshni

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 357 KB
Volume: 222
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(94)00331-9

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✦ Synopsis

We present a systematic perturbative method for calculating the binding energies of ro-vibrational quantum states for a finite depth potential. Using an asymptotic expansion in powers of 1 /q, where q is the dimensionless physical depth parameter, explicit calculations are performed. 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 agreement with the exact ones.

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