DocumentCode
2903415
Title
Ladder operators for Chebyshev-Koornwinder oscillator
Author
Borzov, V.V. ; Damaskinsky, E.V.
Author_Institution
Dept. of Math., St.Petersburg Univ. of Telecommun., St. Petersburg, Russia
fYear
2013
fDate
27-31 May 2013
Firstpage
23
Lastpage
27
Abstract
We obtain differential expressions for ladder operators of generalized oscillator related to the bivariate Chebyshev-Koornwinder (CK) polynomials. Using the representation of differential operators of Koornwinder by “number operators” of CK-oscillator, we get a completion of Koornwinder algebra. This extension is an Abelian subalgebra of CK-oscillator algebra.
Keywords
Chebyshev approximation; polynomials; Abelian subalgebra; Chebyshev-Koornwinder oscillator; Koornwinder algebra; bivariate Chebyshev-Koornwinder polynomials; differential operators; ladder operators; number operators; Algebra; Chebyshev approximation; Diffraction; Eigenvalues and eigenfunctions; Electronic mail; Oscillators; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Days on Diffraction (DD), 2013
Conference_Location
St. Petersburg
Print_ISBN
978-1-4799-1037-3
Type
conf
DOI
10.1109/DD.2013.6712797
Filename
6712797
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