Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/8027
Title: A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
Issue Date: 1-Jun-2013
Publisher: Sociedade Brasileira de Física
Description: We discuss some results from q-series that can account for the foundations for the introduction of orthogonal polynomials on the circle and on the line, namely the Rogers-Szegö and Stieltjes-Wigert polynomials. These polynomials are explicitly written and their orthogonality is verified. Explicit realizations of the raising and lowering operators for these polynomials are introduced in analogy to those of the Hermite polynomials that are shown to obey the q-commutation relations associated with the q-deformed harmonic oscillator.
URI: http://koha.mediu.edu.my:8181/jspui/handle/123456789/8027
Other Identifiers: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100015
http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2003&volume=33&issue=1&spage=148
Appears in Collections:Physics and Astronomy

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