| Titre |
On nonlinear coherent states properties for electron-phonon dynamics |
| Auteurs |
AREMUA Isiaka [1],
HOUNKONNOU MAHOUTON NORBERT [2],
|
| Journal: |
Journal of Nonlinear Mathematical Physics |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
21 |
| DOI: |
|
| Resume |
This work addresses a construction of a dual pair of nonlinear coherent states (NCS) in the context of changes
of bases in the underlying Hilbert space for a model pertaining to an electron-phonon model in the condensed
matter physics, obeying a f -deformed Heisenberg algebra. The existence and properties of reproducing kernel
in the NCS Hilbert space are studied and discussed; the probability density and its dynamics in the basis
of constructed coherent states are provided. A Glauber-Sudarshan P-representation of the density matrix and
relevant issues related to the reproducing kernel properties are presented. Moreover, a NCS quantization of
classical phase space observables is performed and illustrated in a concrete example of q-deformed coherent
states. Finally, an exposition of quantum optical properties is given. |
| Mots clés |
Deformed Heisenberg algebra; Electron-phonon dynamics; Coherent states; Coherent state quantization. |
| Pages |
89 - 119 |
| Fichier |
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