Spectral bounds for the Hellmann potential

Authors
Hall, RL Katatbeh, QD
Citation
Rl. Hall et Qd. Katatbeh, Spectral bounds for the Hellmann potential, PHYS LETT A, 287(3-4), 2001, pp. 183-186
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
287
Issue
3-4
Year of publication
2001
Pages
183 - 186
Database
ISI
SICI code
0375-9601(20010827)287:3-4<183:SBFTHP>2.0.ZU;2-U
Abstract
The method of potential envelopes is used to analyse the bound state spectr um of the Schrodinger Hamiltonian H = -Delta + V(r), where the Hellmann pot ential is given by V(r) = -A/r + Be-Cr/r, A and C are positive, and B can b e positive or negative. We established simple formulas yielding upper and l ower bounds for all the energy eigenvalues. (C) 2001 Elsevier Science B.V. All rights reserved.