On nonlinear coherent states properties for electron-phonon dynamics
- 10.1080/14029251.2014.894723How to use a DOI?
- Deformed Heisenberg algebra; Electron-phonon dynamics; Coherent states; Coherent state quantization
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.
- © 2014 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Isiaka Aremua AU - Mahouton Norbert Hounkonnou AU - Ezinvi Baloïtcha PY - 2021 DA - 2021/01/06 TI - On nonlinear coherent states properties for electron-phonon dynamics JO - Journal of Nonlinear Mathematical Physics SP - 89 EP - 119 VL - 21 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.894723 DO - 10.1080/14029251.2014.894723 ID - Aremua2021 ER -