On a Generalized D-Dimensional Oscillator: Interbasis Expansions
Hakobyan, Ye. M. ; Pogosyan, G. S. ; Sissakian, A. N.
arXiv, 9804072 / Harvested from arXiv
Text on arXiv
This article deals with nonrelativistic study of a D-dimensional superintegrable system, which generalizes the ordinary isotropic oscillator system. The coefficients for the expansion between the hyperspherical and Cartesian bases (transition matrix), and vice-versa, are found in terms of the SU(2) Clebsch--Gordan coefficients analytically continued to real values of their arguments. The diagram method, which allow one to construct a transition matrix for arbitrary dimension, is developed.
Publié le : 1998-04-30
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics 
@article{9804072,
     author = {Hakobyan, Ye. M. and Pogosyan, G. S. and Sissakian, A. N.},
     title = {On a Generalized D-Dimensional Oscillator: Interbasis Expansions},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804072}
}

Hakobyan, Ye. M.; Pogosyan, G. S.; Sissakian, A. N. On a Generalized D-Dimensional Oscillator: Interbasis Expansions. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804072/