Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1866161 | Physics Letters A | 2008 | 9 Pages |
Abstract
Models of the quantum oscillator, based on Al-Salam–Chihara orthogonal q-polynomials, are constructed. The position and momentum operators have the continuous simple spectra, covering a finite interval. Eigenfunctions of these operators are explicitly defined. The evolution operator is an integral operator with a kernel, whose explicit form is also derived.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
N.M. Atakishiyev, A.U. Klimyk,