Skip to main content
Log in

Coulomb system equivalent to the energy spectrum of the Calogero-Sutherland-Moser (CSM) model

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

The purpose of this paper is to prove an equivalence between the energy spectrum of the CSM model and the electrostatic energy of a one-dimensional lattice of quantized point charges interacting via Coulomb potential with Dirichlet boundary conditions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. Calogero,J. Math. Phys. 12:419–436, 1971.

    Article  ADS  MathSciNet  Google Scholar 

  2. B. Sutherland,J. Math. Phys. 12:246–251, 1971.J. Math. Phys. 12 :251–256, 1971.Phys. Rev. A 4 :2019–2021, 1971.Phys. Rev. A 5 :1372–1376, 1972, and B. S. Shastry,Phys. Rev. Let 71 :5–8, 1993.

    Article  ADS  Google Scholar 

  3. J. Moser,Adv. Math. 16:197–220, 1975.

    Article  MATH  Google Scholar 

  4. H. Ujino, K. Hikami, and M. Wadati,J. Phys. Jap. 61:3425–3427, 1992.

    Article  ADS  MathSciNet  Google Scholar 

  5. K. Sogo,J. Math. Phys. 35:2282–2296, 1994.J. Phys. Soc. Jpn 63 :879–884, 1994.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. P. Forrester,Nucl. Phys. B 416:377–385, 1994.

    Article  ADS  MathSciNet  Google Scholar 

  7. F. Lesage, V. Pasquier and D. Serban,Nucl. Phys. B 435:585–603, 1995.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  8. D. Serban, F. Lesage, and V. Pasquier,Nucl. Phys. B 466:499–512, 1996.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. S. Rey and Ph. Choquard,Eur. J. Phys. 16:234–239, 1995.

    Article  MathSciNet  Google Scholar 

  10. Ph. Choquard and S. Rey,Eur. J. Phys. 17:45–50, 1996.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ph. Choquard.

Additional information

This paper is dedicated to B. Jancovici in honor of his 65th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choquard, P. Coulomb system equivalent to the energy spectrum of the Calogero-Sutherland-Moser (CSM) model. J Stat Phys 89, 61–68 (1997). https://doi.org/10.1007/BF02770754

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02770754

Key Words

Navigation