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
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;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712797
