Density operator approach for Landau problem quantum Hamiltonians
Mathematical Physics
2017-09-25 v1 math.MP
Abstract
In this work, the definition of the density operator on quantum states in Hilbert spaces and some of its aspects relevant in thermodynamics and information-theoretical entropy calculations are given. In this framework, a physical model describing an electron in a magnetic field is investigated. The so-called exotic Landau problem in noncommutative plane is also considered. Then, a model related to the fractional quantum Hall effect is revisited. Thanks to the completeness relations verified by the coherent states (CS) in these models, the thermodynamics is discussed by using the diagonal -representation of thedensity operator. Specifically, the Q-Husimi distribution and the Wehrl entropy are determined.
Cite
@article{arxiv.1709.07491,
title = {Density operator approach for Landau problem quantum Hamiltonians},
author = {Isiaka Aremua and Mahouton Norbert Hounkonnou and Ezinvi Baloitcha},
journal= {arXiv preprint arXiv:1709.07491},
year = {2017}
}