Electron Dynamics: Concrete Physical Models

Bruce D. Popp

Isiaka Aremua, Mahouton Norbert Hounkonnou

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.

Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloïtcha

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.

Rubén Santamaría

Konstantin V. Kazakov

Romano, Raffaele

The subject of this thesis is the study of dissipative dynamics and their properties in particle physics, dealing with neutral B-mesons, neutron interferometry and neutrino physics. Modified expressions for the relevant phenomenological quantities characterizing these systems are obtained. Moreover, the models presented in this work offer the possibility of direct tests of some basic properties of reduced dynamics (in particular the notion of complete positivity) since they represent concrete systems amenable to actual experiments.