Turkish Journal of Mathematics
DOI
10.3906/mat-0809-22
Abstract
In this article, assume that G=H\times_{\tau} K is the semidirect product of two locally compact groups H and K, respectively and consider the quasi regular representation on G. Then for some closed subgroups of G we investigate an admissible condition to generate the Gilmore-Perelomov coherent states. The construction yields a wide variety of coherent states, labelled by a homogeneous space of G.
Keywords
Locally compact abelian group, Semidirect product, Fourier transform, Square integrable representation, Coherent states
First Page
515
Last Page
522
Recommended Citation
AREFIJAMAAL, ALI AKBAR
(2010)
"On construction of coherent states associated with homogeneous spaces,"
Turkish Journal of Mathematics: Vol. 34:
No.
4, Article 8.
https://doi.org/10.3906/mat-0809-22
Available at:
https://journals.tubitak.gov.tr/math/vol34/iss4/8
