Numerical study of the spherically symmetric Gross-Pitaevskii equation in two space dimensions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 2, 2000, Pages 2937-2944

  Adhikari, Sadhan K ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODYNAMICS; ELECTRON TRANSPORT PROPERTIES; ELECTRON TRAPS; ELECTRONIC DENSITY OF STATES; GROUND STATE; LOW TEMPERATURE OPERATIONS; NONLINEAR EQUATIONS; OSCILLATIONS;

BOSE EINSTEIN CONDENSATE; DILUTE BOSONIC ATOMS; GROSS-PITAEVSKII EQUATION; GROUND STATE WAVE FUNCTION; REPULSIVE INTERATOMIC INTERACTIONS; SCHRODINGER EQUATION; TRAP ENERGY;

ATOMS;

EID: 0034239087     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.2937     Document Type: Article

References (33)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995)
2. J. R. Ensher, D. S. Jin, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 77, 4984 (1996)
3. Phys. Rev. Lett.K. B. Davic, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, 75, 3969 (1995)
4. Phys. Rev. Lett.D. G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss, D. Kleppner, and T. J. Greytak, 81, 3811 (1998).
5. M. Edwards and K. Burnett, Phys. Rev. A 51, 1382 (1995).
6. P. A. Ruprecht, M. J. Holland, K. Burnett, and M. Edwards, Phys. Rev. A 51, 4704 (1995).
7. F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996)
8. Phys. Rev. AS. Giorgini, L. P. Pitaevskii, and S. Stringari, 54, R4633 (1996)
9. M. Edwards, P. A. Ruprecht, K. Burnett, R. J. Dodd, and C. W. Clark, Phys. Rev. Lett. 77, 1671 (1996).
10. M. J. Holland, D. S. Jin, M. L. Chiofalo, and J. Cooper, Phys. Rev. Lett. 78, 3801 (1997).
11. A. Gammal, T. Frederico, and L. Tomio, Phys. Rev. E 60, 2421 (1999).
12. M. L. Chiofalo, S. Succi, and M. P. Tosi, Phys. Lett. A 260, 86 (1999)
13. M. M. Cerimele, M. L. Chiofalo, F. Pistella, S. Succi, and M. P. Tosi, Phys. Rev. E 62, 1382 (2000);Comput. Phys. Commun. (in press).
14. E. A. Hinds, M. G. Boshier, and I. G. Hughes, Phys. Rev. Lett. 80, 645 (1998)
15. M. Bayindir and B. Tanatar, Phys. Rev. A 58, 3134 (1998).
16. W. J. Mullin, J. Low Temp. Phys. 106, 615 (1997)
17. J. Low Temp. Phys.W. J. Mullin110, 167 (1998).
18. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
19. R. J. Dodd, M. Edwards, C. J. Williams, C. W. Clark, M. J. Holland, P. A. Ruprecht, and K. Burnett, Phys. Rev. A 54, 661 (1996)
20. C. C. Bradley, C. A. Sackett and R. G. Hulet, Phys. Rev. Lett. 78, 985 (1997)
21. S. K. Adhikari, Physica A 284, 97 (2000);S. K. Adhikari and A. Gammal, Physica A (to be published).
22. E. P. Gross, Nuovo Cimento 20, 454 (1961)
23. L. P. Pitaevskii, Zh. Éksp. Teor. Fiz. 40, 646 (1961) Sov. Phys. JETP 13, 451 (1961)].
24. P. C. Hohenberg, Phys. Rev. 158, 383 (1967).
25. V. Bagnato and D. Kleppner, Phys. Rev. A 44, 7439 (1991).
26. J. J. Rehr and N. D. Mermin, Phys. Rev. B 1, 3160 (1970)
27. R. Masut and W. J. Mullin, Am. J. Phys. 47, 493 (1979)
28. H. A. Gersch, J. Chem. Phys. 27, 928 (1957).
29. D. Ceperley, M. H. Kalos, and J. L. Lebowitz, Phys. Rev. Lett. 41, 313 (1978).
30. S. E. Koonin, Computational Physics (Benjamin/Cummings, Menlo Park, NJ, 1986), pp. 29–31 and 161–167.
31. W. V. Houston and G. C. Phillips, Principles of Quantum Mechanics (North Holland, Amsterdam, 1973), pp. 70–73.
32. R. Dautray and J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 6, Evolution Problems II (Springer, Berlin, 1993), pp. 45–47.
33. H. W. Wyld, Mathematical Method for Physics (W. A. Benjamin, Inc., Reading, MA, 1976), pp. 61–63.