Comment on “Particle-number-conserving Bogoliubov method which demonstrates the validity of the time-dependent Gross-Pitaevskii equation for a highly condensed Bose gas”

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 1, 1998, Pages 775-778

  Girardeau, M D ^a  

^a UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000560057     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.775     Document Type: Article

References (10)

1. C. W. Gardiner, Phys. Rev. A 56, 1414 (1997).PLRAAN
2. C. W. Gardiner, P. Zoller, R. J. Ballagh, and M. J. Davis, Phys. Rev. Lett. 79, 1793 (1997).PRLTAO
3. M. Girardeau and R. Arnowitt, Phys. Rev. 113, 755 (1959).PHRVAO
4. See, e.g., W. Heisenberg, The Physical Principles of the Quantum Theory (University of Chicago Press, Chicago, 1930), p. 175, Eq. (124), where the phase operator has a prefactor (Formula presented)
5. N. N. Bogoliubov, J. Phys. (U.S.S.R.)11, 23 (1947).JOPYA6
6. M. D. Girardeau, Ph.D. dissertation, Syracuse University, June 1958. See particularly Eq. (30) and Appendix B.
7. See, e.g., S. Giorgini, L. P. Pitaevskii, and S. Stringari, e-print cond-mat/9704014.
8. G. Wentzel, Phys. Rev. 120, 1572 (1960), particularly Sec. II.PHRVAO
9. F. Takano, Phys. Rev. 123, 699 (1961).PHRVAO
10. P. C. Hohenberg and P. C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965). See particularly Sec. VI E, pp. 348–352. APNYA6