𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The realization of dynamic group for the pseudoharmonic oscillator

✍ Scribed by Shi-Hai Dong

Book ID
104349526
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
226 KB
Volume
16
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

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" (~) 2003 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Realization of the dynamical group for t
Realization of the dynamical group for the generalized laguerre functions
✍ Shi-Hai Dong πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 232 KB

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.