On nonlinear coherent states properties for electron-phonon dynamics
Abstract
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 the condensed matter physics, which obeys a -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 -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 -deformed coherent states. Finally, an exposition of quantum optical properties is given.
Cite
@article{arxiv.1309.3100,
title = {On nonlinear coherent states properties for electron-phonon dynamics},
author = {Isiaka Aremua and Mahouton Norbert Hounkonnou and Ezinvi Baloïtcha},
journal= {arXiv preprint arXiv:1309.3100},
year = {2013}
}