||On nonlinear coherent states properties for electron-phonon dynamics
AREMUA Isiaka ,
HOUNKONNOU MAHOUTON NORBERT ,
||Journal of Nonlinear Mathematical Physics
||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.
||Deformed Heisenberg algebra; Electron-phonon dynamics; Coherent states; Coherent state quantization.
||89 - 119