Bose-Einstein condensation of a finite number of particles confined to harmonic traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 2, 1998, Pages 1490-1495

  Pathria, R K ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

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[No Author keywords available]

Indexed keywords

EID: 0009498617     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.1490     Document Type: Article

References (20)

1. A. Einstein, Sitzungsber. Preuss. Akad. Wiss. 1, 3 (1925).SPWDAI
2. F. London, Nature (London) 141, 643 (1938); NATUAS
3. F. LondonPhys. Rev. 54, 947 (1938).
4. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); SCIEAS
5. W. Petrich, M. H. Anderson, J. R. Ensher, and E. A. Cornell, Phys. Rev. Lett. 74, 3352 (1995).PRLTAO
6. C. C. Bradley, C. A. Sackett, J. J. Tollet, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).PRLTAO
7. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).PRLTAO
8. K. Kirsten and D. J. Toms, Phys. Rev. A 54, 4188 (1996).PLRAAN
9. S. Grossmann and M. Holthaus, Phys. Lett. A 208, 188 (1995); PYLAAG
10. S. GrossmannM. HolthausZ. Naturforsch. Teil A 50A, 323 (1995);
11. Z. Naturforsch. Teil AS. GrossmannM. Holthaus50A, 921 (1995).
12. H. Haugerud, T. Haugest, and F. Ravndal, Phys. Lett. A 225, 18 (1997).PYLAAG
13. W. Ketterle and N. J. van Druten, Phys. Rev. A 54, 656 (1996).PLRAAN
14. R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Oxford, 1996), Appendix D.
15. Thus, it would be wrong to infer from Eq. (21) that (Formula presented) at (Formula presented) such an inference would imply that, since ε cannot be negative, it stays zero at all (Formula presented) For the same reason, it would be wrong to infer from Eq. (26) that (Formula presented) at (Formula presented) for that in turn would imply that, since f cannot be negative, it stays zero at all (Formula presented) Such inferences amount to “injecting into the system a singularity that is not supposed to be there.”
16. S. Greenspoon and R. K. Pathria, Phys. Rev. A 9, 2103 (1974).PLRAAN
17. S. Singh and R. K. Pathria, Phys. Rev. A 30, 442 (1984); PLRAAN
18. Phys. Rev. AS. SinghR. K. Pathria30, 3198 (1984);
19. Phys. Rev. AS. SinghR. K. Pathria 31, 1816 (1985).
20. R. K. Pathria, Statistical Mechanics, 1st ed. (Pergamon, Oxford, 1972), problem 7.8, with (Formula presented) and (Formula presented)