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Construction of a more complete quantum fluid model from\n Wigner-Boltzmann Equation with all higher order quantum corrections

2015/02/03 by Anirban Bose, M. S. Janaki, Bose, Anirban +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1502.00760

openalex publication_date 2015/02/03 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28

Abstract

A semiclassical Quantum Hydrodynamic model has been derived by taking the\nmoments of the Wigner-Boltzmann equation. For the first time, the closure has\nbeen achieved by the use of the momentum shifted version of all order quantum\ncorrected solution of the Wigner-Boltzmann equation and that has considerably\nextended the applicability of the model towards the low temperature and high\ndensity limit. In this context, the importance of the correlation and exchange\neffects have been retained through the Kohn-Sham equation in the construction\nof the Wigner-Boltzmann equation. The validity of the approach is subject to\nthe existence of the Taylor's expansion of the associated Kohn-Sham potential.\n

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