Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 4, 1998, Pages 3185-3194

  Fetter, Alexander L ^a   Feder, David L ^b  

^a STANFORD UNIVERSITY   (United States)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001425348     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.3185     Document Type: Article

References (32)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).SCIEAS
2. 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
3. C. C. Bradley, C. A. Sackett, and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997).PRLTAO
4. N. N. Bogoliubov, J. Phys. (Moscow) 11, 23 (1947).JOPYA6
5. E. P. Gross, Nuovo Cimento 20, 454 (1961).NUCIAD
6. L. P. Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)].SPHJAR
7. M. Edwards and K. Burnett, Phys. Rev. A 51, 1382 (1995).PLRAAN
8. P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, Phys. Rev. A 51, 4704 (1995).PLRAAN
9. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996).PRLTAO
10. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).PLRAAN
11. G. Baym and C. J. Pethick, Phys. Rev. Lett. 76, 6 (1996).PRLTAO
12. A. L. Fetter, J. Low Temp. Phys. 106, 643 (1997).JLTPAC
13. A. L. Fetter, Phys. Rev. A 53, 4245 (1996).PLRAAN
14. W.-C. Wu and A. Griffin, Phys. Rev. A 54, 4204 (1996).PLRAAN
15. A. L. Fetter and D. Rokhsar, Phys. Rev. A 57, 1191 (1998).PLRAAN
16. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).PRLTAO
17. M. Edwards, R. J. Dodd, C. W. Clark, and K. Burnett, J. Res. Natl. Inst. Stand. Technol. 101, 553 (1996).JRITEF
18. P. A. Ruprecht, M. Edwards, K. Burnett, and C. W. Clark, Phys. Rev. A 54, 4178 (1996).PLRAAN
19. D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 420 (1996).PRLTAO
20. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. 77, 988 (1996).PRLTAO
21. F. Dalfovo, L. P. Pitaevskii, and S. Stringari, Phys. Rev. A 54, 4213 (1996).PLRAAN
22. A. L. Fetter, Ann. Phys. (N.Y.) 70, 67 (1972).APNYA6
23. See, for example, C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978), Chap. 9.
24. E. Lundh, C. J. Pethick, and H. Smith, Phys. Rev. A 55, 2126 (1996).PLRAAN
25. M. J. Ablowitz and H. Segur, Phys. Rev. Lett. 38, 1103 (1977).PRLTAO
26. A. Gonzalez and A. Perez, e-print cond-mat/9802023, have used Padé approximants to interpolate between the TF limit and the nearly ideal gas, in both three and two dimensions (note that their definition of R differs from ours).
27. S. Stringari (private communication).
28. See, for example, Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, Natl. Bur. Stand. U.S. Appl. Math. Ser. No. 55 (U.S. GPO, Washington, DC, 1968), Chap. 15.
29. F. Zambelli and S. Stringari, e-print cond-mat/9805068.
30. R. D. Puff, Phys. Rev. A 137, 406 (1965).PLRAAN
31. S. Stringari, Phys. Rev. B 46, 2974 (1992).PRBMDO
32. B. I. Schneider and D. L. Feder (unpublished).