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On the Thomas-Fermi approximation for Bose condensates in traps

1998/10/14 by P. Schuck, Schuck, P., X. Viñas +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum, superfluid, helium dynamics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9810157

18 pages, 10 figures. Submitted to Physical Review A. Note: The figures are not available as .ps files. They can be obtained in hard copy by request to the authors. e-mail address [email protected]

arxiv created 1998/10/14 · openalex publication_date 1998/10/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is f0(\boldR,\boldp) α δ(μ- Hcl) where Hcl is the classical counterpart of the self-consistent Gross-Pitaevskii Hamiltonian. No assumption on the large N-limit is introduced and, e.g the kinetic energy is found to be in good agreement with the quantal results even for low and intermediate particle numbers N. The attractive case yields conclusive results as well.

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