Discretized representations of harmonic variables by bilateral Jacobi operators

Starting from a discrete Heisenberg algebra we solve several representation problems for a discretized quantum oscillator in a weighted sequence space. The Schrödinger operator for a discrete harmonic oscillator is derived. The representation problem for a q-oscillator algebra is studied in detail....

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Bibliographic Details
Main Author: Andreas Ruffing
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000285