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
Similar content being viewed by others
References
I. F. Silvera and J. T. M. Walraven,J. Appl. Phys. 52, 2304 (1981).
A. J. Berlinsky,J. Appl. Phys. 52, 2309 (1981).
J. T. M. Walraven and I. F. Silvera,Phys. Rev. Lett. 44, 168 (1980).
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).
G. Ahlers, inThe Physics of Liquid and Solid Helium, K. H. Bennemann and J. B. Ketterson, eds. (Wiley, New York, 1976).
C. A. Condat and R. A. Guyer,Phys. Rev. B 24, 2874 (1981).
E. D. Siggia and A. E. Ruckenstein,Phys. Rev. B 23, 3580 (1981).
D. G. Friend and R. D. Etters,J. Low Temp. Phys. 39, 409 (1980).
P. Dörre, H. Haug, and D. B. Tran Thoai,J. Low Temp. Phys. 35, 465 (1979).
F. London,Superfluids (Wiley, New York, 1954), Vol. 2.
V. V. Goldman, I. F. Silvera, and A. J. Leggett,Phys. Rev. B 24, 2870 (1981).
Author information
Authors and Affiliations
Additional information
Supported by the National Science Foundation under grant # DMR-80-20429 and by the Sloan Foundation.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00655448