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Realization of the dynamical group for the generalized laguerre functions

✍ Scribed by Shi-Hai Dong

Book ID
104352745
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
232 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis

ladder operators for the generalized Laguerre functions are constructed by a faetorization method. It is shown that these ladder operators satisfy the commutation relations of an SU(I,I) algebra. The matrix elements of some operators x and 2x d are analytically evaluated from these ladder operators.

πŸ“œ SIMILAR VOLUMES

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The realization of dynamic group for the pseudoharmonic oscillator
✍ Shi-Hai Dong πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 226 KB

A realization of the creation and annihilation operators for the pseudoharmonic oscillator is presented. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are obtained for the matrix elements of different functions r 2 and r ~r" (~)

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Probabilistic derivation of some generating functions for the Laguerre polynomials
✍ Poh-Aun Lee; Seng-Huat Ong; H.M. Srivastava πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 432 KB

A well-known generating function of the classical Laguerre polynomials was recently rederived probabillstically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabillstic considerations. A direct (analytical) proof of ea