COHERENT STATES OF GENERAL SEMIDIRECT PRODUCT GROUPS

We develop the continuous theory of coherent states associated to group representation. Most of the interesting groups encountered in the physics literature are semidirect product groups. Recently Ali, Antoine and Gazeau [1] have produced coherent states on the some of these groups. We present some of their calculations in a more general setting.

کلیدواژه ها:

Locally compact abelian group ، semidirect product ، Fourier transform ، square integrable representation ، coherent states