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

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Abstract

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

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References

  1. I. F. Silvera and J. T. M. Walraven,J. Appl. Phys. 52, 2304 (1981).

    Google Scholar 

  2. A. J. Berlinsky,J. Appl. Phys. 52, 2309 (1981).

    Google Scholar 

  3. J. T. M. Walraven and I. F. Silvera,Phys. Rev. Lett. 44, 168 (1980).

    Google Scholar 

  4. 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. G. Ahlers, inThe Physics of Liquid and Solid Helium, K. H. Bennemann and J. B. Ketterson, eds. (Wiley, New York, 1976).

    Google Scholar 

  6. C. A. Condat and R. A. Guyer,Phys. Rev. B 24, 2874 (1981).

    Google Scholar 

  7. E. D. Siggia and A. E. Ruckenstein,Phys. Rev. B 23, 3580 (1981).

    Google Scholar 

  8. D. G. Friend and R. D. Etters,J. Low Temp. Phys. 39, 409 (1980).

    Google Scholar 

  9. P. Dörre, H. Haug, and D. B. Tran Thoai,J. Low Temp. Phys. 35, 465 (1979).

    Google Scholar 

  10. F. London,Superfluids (Wiley, New York, 1954), Vol. 2.

    Google Scholar 

  11. V. V. Goldman, I. F. Silvera, and A. J. Leggett,Phys. Rev. B 24, 2870 (1981).

    Google Scholar 

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Supported by the National Science Foundation under grant # DMR-80-20429 and by the Sloan Foundation.

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Huse, D.A., Siggia, E.D. The density distribution of a weakly interacting bose gas in an external potential. J Low Temp Phys 46, 137–149 (1982). https://doi.org/10.1007/BF00655448

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  • DOI: https://doi.org/10.1007/BF00655448

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