Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 4
On construction of coherent states associated with homogeneous spaces
- Pages
- 515–521
- DOI
- —
Abstract
In this article, assume that G=H\timest 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.
Özet
In this article, assume that G=H\timest 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.