Collapses of Wavefunctions in Multi-Dimensional Nonlinear Schrödinger Equations under Harmonic Potential

Journal of the Physical Society of Japan

Volumn 66, Issue 10, 1997, Pages 3031-3034

  Tsurumi, Takeya ^a   Wadati, Miki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bose Einstein condensation; Collapse of wavefunction; Development of singularity; Nonlinear schr dinger equations

Indexed keywords

EID: 0031317213     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.66.3031     Document Type: Article

References (11)

1. V. E. Zakharov: Sov. Phys. -JETP 35 (1972) 908.
2. V. E. Zakharov and V. S. Synakh: Sov. Phys. -JETP 41 (1975) 465.
3. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman and E. A. Cornell: Science 269 (1995) 198.
4. C. C. Bradley, C. A. Sackett, J. J. Tollett and R. G. Hulet: Phys. Rev. Lett. 75 (1995) 1687.
5. 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 (1995) 3969.
6. E. R. I. Abraham, W. I. McAlexander, C. A. Sackett and R. G. Hulet: Phys. Rev. Lett. 74 (1995) 1315.
7. J. R. Gardner, R. A. Cline, J. D. Miller, D. J. Heinzen, H. M. J. M. Boesten and B. J. Verhaar: Phys. Rev. Lett. 74 (1995) 3764.
8. P. Nozières and D. Pines: The Theory of Quantum Liquids, Vol. II (Addison-Wesley, Redwood City, 1990).
9. G. Baym and C. J. Pethick: Phys. Rev. Lett. 76 (1996) 6.
10. E. P. Gross: J. Math. Phys. 4 (1963) 195.
11. L. P. Pitaevskii: Sov. Phys. -JETP 13 (1961) 451.