Exact ground-state number fluctuations of trapped ideal and interacting fermions

Journal of Physics A: Mathematical and General

Volumn 36, Issue 4, 2003, Pages 961-973

  Tran, Muoi N ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037474364     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/4/308     Document Type: Article

References (38)

1. DeMarco B and Jin D S 1999 Science 285 1703 Holland M J, DeMarco B and Jin D S 2000 Phys. Rev. A 61 053610
2. DeMarco B and Jin D S 1999 Science 285 1703 Holland M J, DeMarco B and Jin D S 2000 Phys. Rev. A 61 053610
3. Tran M N, Murthy M V N and Bhaduri R K 2001 Phys. Rev. E 63 031105
4. Aerts A T M, Hansson T H and Skagerstam B S 1984 Phys. Lett. B 145 123
5. Borrmann P and Franke G 1993 J. Chem. Phys. 98 2484
6. Schmidt H J and Schnack J 1998 Physica A 260 479
7. Rademacher H 1973 Topics in Analytic Number Theory (Berlin: Springer)
8. See e.g., Kittel C and Kroemer H 1980 Thermal Physics 2nd. edn (New York: Freeman) p 222
9. Haldane F D M 1981 J. Phys. C: Solid State Phys. 14 2585
10. Schönhammer K and Meden V 1995 Am. J. Phys. 64 1168
11. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
12. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
13. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
14. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
15. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
16. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
17. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
18. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
19. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
20. Grossmann S and Holthaus M 1996 Phys. Rev. E 54 3495 Grossmann S and Holthaus M 1997 Phys. Rev. Lett. 79 3557 Politzer H D 1996 Phys. Rev. A 54 5048 Gajda M and Rzazewski K 1997 Phys. Rev. Lett. 78 2686 Herzog C and Olshanii M 1997 Phys. Rev. A 55 3254 Wilkens M and Weiss C 1997 J. Mod. Opt. 44 1801 Weiss C and Wilkens M 1997 Opt. Express 1 272 Navez P, Bitouk D, Gajda M, Idziaszek Z and Rzazewski K 1997 Phys. Rev. Lett. 79 1789 Holthaus M, Kalinowski E and Kirsten K 1998 Am. Phys., NY 270 198 Holthaus M and Kalinowski E 1999 Am. Phys., NY 276 321
21. Landau L D and Lifshitz E M 1958 Statistical Physics (Reading, MA: Addison-Wesley) p 357
22. Calogero F 1969 J. Math. Phys. 10 2191 Sutherland B 1971 J. Math. Phys. 12 246
23. Calogero F 1969 J. Math. Phys. 10 2191 Sutherland B 1971 J. Math. Phys. 12 246
24. Haldane F D M 1991 Phys. Rev. Lett. 67 937 Wu Y S 1994 Phys. Rev. Lett. 73 922 Isakov S B 1994 Mod. Phys. Lett. B 8 319
25. Haldane F D M 1991 Phys. Rev. Lett. 67 937 Wu Y S 1994 Phys. Rev. Lett. 73 922 Isakov S B 1994 Mod. Phys. Lett. B 8 319
26. Haldane F D M 1991 Phys. Rev. Lett. 67 937 Wu Y S 1994 Phys. Rev. Lett. 73 922 Isakov S B 1994 Mod. Phys. Lett. B 8 319
27. Murthy M V N and Shankar R 1994 Phys. Rev. Lett. 73 3331 Murthy M V N and Shankar R 1995 Phys. Rev. Lett. 75 353
28. Murthy M V N and Shankar R 1994 Phys. Rev. Lett. 73 3331 Murthy M V N and Shankar R 1995 Phys. Rev. Lett. 75 353
29. Ha Z N C 1994 Phys. Rev. Lett. 73 1574 Bhaduri R K, Reimann S M, Viefers S, Ghose Choudhury A and Srivastava M K 2000 J. Phys. B: At. Mol. Opt. Phys. 33 3895 Viefers S, Hansson T H and Leinaas J M 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4609
30. Ha Z N C 1994 Phys. Rev. Lett. 73 1574 Bhaduri R K, Reimann S M, Viefers S, Ghose Choudhury A and Srivastava M K 2000 J. Phys. B: At. Mol. Opt. Phys. 33 3895 Viefers S, Hansson T H and Leinaas J M 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4609
31. Ha Z N C 1994 Phys. Rev. Lett. 73 1574 Bhaduri R K, Reimann S M, Viefers S, Ghose Choudhury A and Srivastava M K 2000 J. Phys. B: At. Mol. Opt. Phys. 33 3895 Viefers S, Hansson T H and Leinaas J M 2001 J. Phys. B: At. Mol. Opt. Phys. 34 4609
32. Bhaduri R K, Murthy M V N and Tran M N 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2817
33. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609
34. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609
35. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609
36. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609
37. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609
38. Buffet E and Pule J V 1983 J. Math. Phys. 24 1608 Giorgini S, Pitaevskii L P and Stringari S 1998 Phys. Rev. Lett. 80 5040 Illuminati F, Navez P and Wilkens M 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L461 Idziaszek Z, Gajda M, Navez P, Wilkens M and Rzazewski K 1999 Phys. Rev. Lett. 82 4376 Xiong H, Liu S and Huang G 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2105 Xiong H, Liu S, Huang G and Xu Z 2002 Phys. Rev. A 65 033609