Q-SCHRODINGER EQUATIONS FOR V=U(2)+1 U(2) AND MORSE POTENTIALS IN TERMS OF THE Q-CANONICAL TRANSFORMATION/

Authors
DAYI OF DURU IH
Citation
Of. Dayi et Ih. Duru, Q-SCHRODINGER EQUATIONS FOR V=U(2)+1 U(2) AND MORSE POTENTIALS IN TERMS OF THE Q-CANONICAL TRANSFORMATION/, International journal of modern physics A, 12(13), 1997, pp. 2373-2384
Citations number
27
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
12
Issue
13
Year of publication
1997
Pages
2373 - 2384
Database
ISI
SICI code
0217-751X(1997)12:13<2373:QEFVUA>2.0.ZU;2-1
Abstract
The realizations of the Lie algebra corresponding to the dynamical sym metry group SO(2, 1) of the Schrodinger equations for the Morse and th e V = u(2) + 1/u(2) potentials were known to be related by a canonical transformation. q-deformed analog of this transformation connecting t wo different realizations of the sl(q)(2) algebra is presented. By the virtue of the q-canonical transformation, a q-deformed Schrodinger eq uation for the Morse potential is obtained from the q-deformed V = u(2 )+1/u(2) Schrodinger equation. Wave functions and eigenvalues of the q -Schrodinger equations yielding a new definition of the q-Laguerre pol ynomials are studied.