Exact solutions for nonlinear Schrödinger equation in phase space: Applications to Bose-Einstein condensate

Chinese Physics

Volumn 13, Issue 6, 2004, Pages 811-816

  Lu, Jun ^a,b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Bose Einstein condensate; Nonlinear equation; Phase space

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; QUANTUM THEORY; WAVE EQUATIONS;

BOSE-EINSTEIN CONDENSATE; NONLINEAR SCHRÖDINGER EQUATION; PHASE SPACE; QUANTUM PHASE-SPACE REPRESENTATION;

ELECTRON ENERGY LEVELS;

EID: 23244456500     PISSN: 10091963     EISSN: None     Source Type: Journal    
DOI: 10.1088/1009-1963/13/6/005     Document Type: Article

References (33)

1. Wigner E P 1932 Phys. Rev. 40 749
2. Husimi K 1940 Proc. Phys. Math. Soc. Japan 22 264
3. Glauber R J 1963 Phys. Rev. 130 2529
4. Glauber R J 1965 Quantum Optics and Electronics (New York: Gordon and Breach)
5. Schroeck F E Jr 1996 Quantum Mechanics on Phase-space (Dordrecht: Kluwer)
6. Poirier B 2000 Found. Phys. 30 1191
7. Hillery M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
8. Klauder J R and Skagerstum B S 1985 Coherent States (Singapore: World Scientific)
9. Torres-Vega G and Frederick J H 1990 J. Chem. Phys. 93 8862
10. Torres-Vega G and Frederick J H 1993 J. Chem. Phys. 98 3103
11. Li Q S and Hu X G 1995 Phys. Scr. 51 417
12. Møller K B, Jørgensen T G and Torres-Vega G 1997 J. Chem. Phys. 106 7228
13. Hu X G and Li Q S 1999 J. Phys. A: Gen. Math. 32 139
14. Lu J, Li Q S and Sun Z 2001 Phys. Chem. Chem. Phys. 3 1022
15. Li Q S and Lu J 2001 Chem. Phys. Lett. 336 118
16. Li Q S and Lu J 2000 J. Chem. Phys. 113 4565
17. Hu X G, Li Q S and Tang A C 1994 Chem. Phys. Lett. 230 217
18. Hu X G, Li Q S and Tang A C 1995 Phys. Rev. A 52 3780
19. Ban M 1993 Phys. Rev. A 48 3452
20. Harriman J E 1994 J. Chem. Phys. 100 3651
21. Ban M 1999 J. Math. Phys. 40 3718
22. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
23. Carr L D, Kutz J N and Reinhardt W P 2001 Phys. Rev. E 63 66604
24. Busch T and Anglin J R 2001 Phys. Rev. Lett. 87 10401
25. Nemoto K and Sanders B C 2001 J. Phys. A: Math. Gen. 34 2051
26. Carr L D, Clark C W and Reinhardt W P 2001 Phys. Rev. A 62 63610
27. Carr L D, Clark C W and Reinhardt W P 2001 Phys. Rev. A 62 63611
28. Kunze M, Küpper T, Mezentsev V K, Shapiro E G and Turitsyn S 1999 Physica D 128 273
29. Xie B H and Jing H 2002 Chin. Phys. 11 115
30. Tan W H and Yan K Z 1999 Acta Phys. Sin. 48 1983 (in Chinese)
31. Liu W M, Wu B and Niu Q 2000 Phys. Rev. Lett. 84 2294
32. Vinoj M N and Kuriakose V C 2000 Phys. Rev. E 62 8719
33. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions (New York: Dover)