Density operator approach for Landau problem quantum Hamiltonians

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 $P$-representation of thedensity operator. Specifically, the Q-Husimi distribution and the Wehrl entropy are determined.

References in corpus (5)

• Coherent-State Approach to Two-dimensional Electron Magnetism
• Chiral decomposition in the non-commutative Landau problem
• Fisher information, Wehrl entropy, and Landau Diamagnetism
• Action-angle coherent states for quantum systems with cylindric phase space
• A Diagonal Representation of Quantum Density Matrix Using q-Boson Oscillator Coherent States