Exact results for the Wigner transform phase space densities of a two-dimensional harmonically confined charged quantum gas subjected to a magnetic field

Details Exact results for the Wigner transform phase space densities of a two-dimensional harmonically confined charged quantum gas subjected to a magnetic field Exact results for the Wigner transform phase space densities of a two-dimensional harmonically confined charged quantum gas subjected to a magnetic field

2008-10-20

arxiv.org/abs/0810.3615v1

Physics

Atomic Physics

6 figures

Scientific paper

10.1103/PhysRevA.78.053614

Closed form analytical expressions are obtained for the Wigner transform of the Bloch density matrix and for the Wigner phase space density of a two dimensional harmonically trapped charged quantum gas in a uniform magnetic field of arbitrary strength, at zero and nonzero temperatures. An exact analytic expression is also obtained for the autocorrelation function. The strong magnetic field case, where only few Landau levels are occupied, is also examined, and useful approximate expressions for the spatial and momentum densities are given.

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