A q-deformed Schrodinger equation

Authors
Micu, M
Citation
M. Micu, A q-deformed Schrodinger equation, J PHYS A, 32(44), 1999, pp. 7765-7777
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
44
Year of publication
1999
Pages
7765 - 7777
Database
ISI
SICI code
0305-4470(19991105)32:44<7765:AQSE>2.0.ZU;2-G
Abstract
We found Hermitian realizations of the position vector (r) over right arrow , the angular momentum <(Lambda)over right arrow> and the linear momentum ( p) over right arrow, all behaving like vectors under the su(q)(2) algebra, generated by L-0 and L+/-. They are used to introduce a q-deformed Schrodin ger equation. Its solutions for the particular cases of the Coulomb and the harmonic oscillator potentials are given and briefly discussed.