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# Thomas-Fermi approximation for Bose-Einstein condensates in traps

Abstract : Thomas-Fermi theory for Bose condesates in inhomogeneous traps is revisited. The phase-space distribution function in the Thomas-Fermi limit is $f_0(\bold{R},\bold{p})$ $\alpha$ $\delta(\mu - H_{cl})$ where $H_{cl}$ 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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https://hal.in2p3.fr/in2p3-00006007
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Submitted on : Thursday, September 7, 2000 - 10:52:58 AM
Last modification on : Tuesday, October 4, 2022 - 4:00:27 PM

### Citation

P. Schuck, X. Vinas. Thomas-Fermi approximation for Bose-Einstein condensates in traps. Physical Review A : Atomic, molecular, and optical physics, American Physical Society, 2000, 61, 043603-(11 p.). ⟨10.1103/PhysRevA.61.043603⟩. ⟨in2p3-00006007⟩

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