Skip to main content
SpringerLink
Log in

Two Cold Atoms in a Harmonic Trap

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Two ultracold atoms moving in a trap interact weakly at a very short distance. This interaction can be modeled by a properly regularized contact potential. We solve the corresponding time-independent Schrödinger equation under the assumption of a parabolic, spherically symmetric trapping potential.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. P. Verkerk, B. Lounis, C. Salomon, and C. Cohen-Tannoudji, Phys. Rev. Lett. 68, 3861 (1992); P. S. Jessen, C. Gerz, P. D. Lett, W. D. Phillips, S. L. Rolston, R. J. C. Spreeuw, and C. I. Westbrook, Phys. Rev. Lett. 69, 49 (1992); A. Hemmerich, C. Zimmermann, and T. W. Hänsch, Europhys. Lett. 22, 89 (1993).

    Google Scholar 

  2. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); 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, 3969 (1995).

    Google Scholar 

  3. S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics (Springer, Heidelberg, 1988).

    Google Scholar 

  4. G. Barton and D. Waxman, “Wave equations with point-support potentials having dimensionless strength parameters,” University of Sussex, unpublished.

  5. P. Šeba, Czech. J. Phys. B 36, 559 (1986).

    Google Scholar 

  6. K. Huang, Statistical Mechanics, 2nd edn. (Wiley, New York, 1987).

    Google Scholar 

  7. E. Fermi, Ricera Sci. 7, 12 (1936).

    Google Scholar 

  8. K. Wódkiewicz, Phys. Rev. A 43, 68 (1991).

    Google Scholar 

  9. B.-G. Englert, Lett. Math. Phys. 34, 239 (1995).

    Google Scholar 

  10. G. Breit and P. T. Zilsel, Phys. Rev. 71, 232 (1947).

    Google Scholar 

  11. I. J. Bersons, J. Phys. B 8, 3078 (1975).

    Google Scholar 

  12. P. Šeba, Phys. Rev. Lett. 64, 1855 (1990).

    Google Scholar 

  13. R. K. Janev and Z. Maric, Phys. Lett. 46A, 313 (1974).

    Google Scholar 

  14. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1972).

    Google Scholar 

Download references

Authors
  1. Thomas Busch
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Berthold-Georg Englert
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Kazimierz Rzażewski
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Martin Wilkens
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Busch, T., Englert, BG., Rzażewski, K. et al. Two Cold Atoms in a Harmonic Trap. Foundations of Physics 28, 549–559 (1998). https://doi.org/10.1023/A:1018705520999

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018705520999

Keywords

Search

Navigation