Hamiltonian hierarchy and the Hulthen potential

Citation
B. Gonul et al., Hamiltonian hierarchy and the Hulthen potential, PHYS LETT A, 275(4), 2000, pp. 238-243
Citations number
24
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
275
Issue
4
Year of publication
2000
Pages
238 - 243
Database
ISI
SICI code
0375-9601(20001016)275:4<238:HHATHP>2.0.ZU;2-F
Abstract
We deal with the Hamiltonian hierarchy problem of the Hulthen potential wit hin the frame of the supersymmetric quantum mechanics and find that the ass ociated supersymmetric partner potentials simulate the effect of the centri fugal barrier. Incorporating the supersymmetric solutions and using the fir st-order perturbation theory we obtain an expression for the energy levels of the Hulthen potential which gives satisfactory values for the non-zero a ngular momentum states. (C) 2000 Elsevier Science B.V. All rights reserved.