Q-DEFORMED LADDER AND SHIFT-OPERATORS FOR 3 EXACTLY SOLVABLE POTENTIALS OBEYING SO(2,1) SYMMETRY

Authors
GUPTA RK COOPER IL
Citation
Rk. Gupta et Il. Cooper, Q-DEFORMED LADDER AND SHIFT-OPERATORS FOR 3 EXACTLY SOLVABLE POTENTIALS OBEYING SO(2,1) SYMMETRY, Journal of physics. A, mathematical and general, 27(23), 1994, pp. 7811-7820
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
23
Year of publication
1994
Pages
7811 - 7820
Database
ISI
SICI code
0305-4470(1994)27:23<7811:QLASF3>2.0.ZU;2-M
Abstract
The quantum deformation algebra SOq(2, 1) is studied and applied to de rive the q-analogues of the ladder and shift operators for the radial Coulomb, radial harmonic oscillator and Morse oscillator potentials. T he q-deformed operators in all three cases are found to ace like shift operators, called q-shift operators. Their possible similarity with t he quasi-shift operators arising in supersymmetric quantum mechanics, or factorization, of the radial harmonic oscillator is also pointed ou t.