Density of states for Bose-Einstein condensation in harmonic oscillator potentials

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 222, Issue 3, 1996, Pages 148-151

  Kirsten, Klaus ^a   Toms, David J ^b  

^a UNIVERSITY OF LEIPZIG   (Germany)

^b NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

OSCILLATORS (MECHANICAL); STATISTICAL MECHANICS;

ANALYTIC CALCULATIONS; ATOMIC GAS; DENSITY OF STATE; HARMONIC OSCILLATOR POTENTIAL; POTENTIAL TRAP;

BOSE-EINSTEIN CONDENSATION;

EID: 0001432381     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00630-5     Document Type: Article

References (22)

1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman and E.A. Cornell, Science 269 (1995) 198.
2. C.C. Bradley, C.A. Sackett, J.J. Tollett and R.G. Hulet, Phys. Rev. Lett. 75 (1995) 1687.
3. 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.
4. F. London, Superfluids II (Wiley, New York, 1954); K. Huang, Statistical mechanics (Wiley, New York, 1987); R.K. Pathria, Statistical mechanics (Pergamon, Oxford, 1972).
5. F. London, Superfluids II (Wiley, New York, 1954); K. Huang, Statistical mechanics (Wiley, New York, 1987); R.K. Pathria, Statistical mechanics (Pergamon, Oxford, 1972).
6. F. London, Superfluids II (Wiley, New York, 1954); K. Huang, Statistical mechanics (Wiley, New York, 1987); R.K. Pathria, Statistical mechanics (Pergamon, Oxford, 1972).
7. S.R. de Groot, G.J. Hooyman and C.A. ten Seldam, Proc. R. Soc. A 203 (1950) 266.
8. V. Bagnato, D.E. Pritchard and D. Kleppner, Phys. Rev. A 35 (1987) 4354.
9. S. Grossmann and M. Holthaus, Phys. Lett. A 208 (1995) 188.
10. S. Grossmann and M. Holthaus, Z. Naturforsch. a 50 (1995) 921.
11. H. Haugerud and F. Ravndal, unpublished.
12. K. Kirsten and D.J. Toms, Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap, preprint (February 1996).
13. K. Kirsten and D.J. Toms, Bose-Einstein condensation of atomic gases in general harmonic oscillator confining potential traps, preprint (March 1996), to appear in Phys. Rev. A.
14. S. Grossmann and M. Holthaus, Microcanonical fluctuations of a Bose system's ground state occupation number, preprint (February 1996).
15. F.H. Brownell, Pacific J. Math. 5 (1955) 483; J. Math. Mech. 6 (1957) 119.
16. F.H. Brownell, Pacific J. Math. 5 (1955) 483; J. Math. Mech. 6 (1957) 119.
17. H.P. Baltes and E.R. Hilf, Spectra of finite systems (Bibliographisches Institut Mannheim, Zurich, 1976).
18. S. Minakshisundaram, Can. J. Math. 1 (1949) 320; S. Minakshisundaram and Å. Pleijel, Can. J. Math. 1 (1949) 242; B.S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, New York, 1965); P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, 2nd Ed. (CTC Press, Boca Raton, 1995).
19. S. Minakshisundaram, Can. J. Math. 1 (1949) 320; S. Minakshisundaram and Å. Pleijel, Can. J. Math. 1 (1949) 242; B.S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, New York, 1965); P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, 2nd Ed. (CTC Press, Boca Raton, 1995).
20. S. Minakshisundaram, Can. J. Math. 1 (1949) 320; S. Minakshisundaram and Å. Pleijel, Can. J. Math. 1 (1949) 242; B.S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, New York, 1965); P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, 2nd Ed. (CTC Press, Boca Raton, 1995).
21. S. Minakshisundaram, Can. J. Math. 1 (1949) 320; S. Minakshisundaram and Å. Pleijel, Can. J. Math. 1 (1949) 242; B.S. DeWitt, Dynamical theory of groups and fields (Gordon and Breach, New York, 1965); P.B. Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem, 2nd Ed. (CTC Press, Boca Raton, 1995).
22. H. Haugerud, T. Haugset and F. Ravndal, A more accurate analysis of Bose-Einstein condensation in harmonic traps, preprint (May 1996).