Journal of Low Temperature Physics

, Volume 46, Issue 1–2, pp 137–149 | Cite as

The density distribution of a weakly interacting bose gas in an external potential

  • David A. Huse
  • Eric D. Siggia


The Gross-Pitaevskii equations are generalized to finite temperatures by means of the self-consistent Hartree-Fock and Bogolyubov approximations that are derived through a variational principle for the optimal set of one-particle eigenstates. A number of sample density profiles are provided for spin-polarized atomic hydrogen when the external potential depends on thez coordinate only


Hydrogen Atomic Hydrogen Density Distribution Magnetic Material Variational Principle 
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  1. 1.
    I. F. Silvera and J. T. M. Walraven,J. Appl. Phys. 52, 2304 (1981).Google Scholar
  2. 1a.
    A. J. Berlinsky,J. Appl. Phys. 52, 2309 (1981).Google Scholar
  3. 2.
    J. T. M. Walraven and I. F. Silvera,Phys. Rev. Lett. 44, 168 (1980).Google Scholar
  4. 3.
    I. F. Silvera and J. T. M. Walraven,Phys. Rev. Lett. 44, 164 (1980); J. T. M. Walraven, I. F. Silvera, and A. P. M. Matthey,Phys. Rev. Lett. 45, 449 (1980).Google Scholar
  5. 4.
    G. Ahlers, inThe Physics of Liquid and Solid Helium, K. H. Bennemann and J. B. Ketterson, eds. (Wiley, New York, 1976).Google Scholar
  6. 5.
    C. A. Condat and R. A. Guyer,Phys. Rev. B 24, 2874 (1981).Google Scholar
  7. 6.
    E. D. Siggia and A. E. Ruckenstein,Phys. Rev. B 23, 3580 (1981).Google Scholar
  8. 7.
    D. G. Friend and R. D. Etters,J. Low Temp. Phys. 39, 409 (1980).Google Scholar
  9. 8.
    P. Dörre, H. Haug, and D. B. Tran Thoai,J. Low Temp. Phys. 35, 465 (1979).Google Scholar
  10. 9.
    F. London,Superfluids (Wiley, New York, 1954), Vol. 2.Google Scholar
  11. 10.
    V. V. Goldman, I. F. Silvera, and A. J. Leggett,Phys. Rev. B 24, 2870 (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • David A. Huse
    • 1
  • Eric D. Siggia
    • 1
  1. 1.Laboratory of Atomic and Solid State PhysicsCornell UniversityIthaca

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