| |
|
Description: |
We review the definition and properties of coherent states, their fundamental role in quantum mechanics as well as their most known generalizations with examples. We focus on the Gilmore-Perelomov approach in constructing coherent state by means of the representation theory of Lie groups and symmetric spaces.
As application, we construct coherent states attached to discret energy levels of a charged particle evolving in two-dimensional surfaces(Poincaré upper half-plane, Euclidean plane and Riemann sphere) under influence of a normal uniform magnetic field. We consider the integral transforms corresponding to these coherent states and we obtain characterization theorems for spaces of bound states of the particle.
|
|
Date: |
|
| Start Time: |
14:30 |
|
Speaker: |
Zouhair Mouayn (Sultan Moulay University, Morroco)
|
|
Institution: |
Sultan Moulay University, Morroco
|
|
Place: |
Room 5.5
|
| Research Groups: |
-Analysis
|
|
See more:
|
<Main>
|
|
