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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.
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Date: |
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Start Time: |
14:30 |
Speaker: |
Zouhair Mouayn (Sultan Moulay University, Morroco)
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Institution: |
Sultan Moulay University, Morroco
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Place: |
Room 5.5
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Research Groups: |
-Analysis
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See more:
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