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.
Similar content being viewed by others
References
F. Calogero,J. Math. Phys. 12:419–436, 1971.
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.
J. Moser,Adv. Math. 16:197–220, 1975.
H. Ujino, K. Hikami, and M. Wadati,J. Phys. Jap. 61:3425–3427, 1992.
K. Sogo,J. Math. Phys. 35:2282–2296, 1994.J. Phys. Soc. Jpn 63 :879–884, 1994.
P. Forrester,Nucl. Phys. B 416:377–385, 1994.
F. Lesage, V. Pasquier and D. Serban,Nucl. Phys. B 435:585–603, 1995.
D. Serban, F. Lesage, and V. Pasquier,Nucl. Phys. B 466:499–512, 1996.
S. Rey and Ph. Choquard,Eur. J. Phys. 16:234–239, 1995.
Ph. Choquard and S. Rey,Eur. J. Phys. 17:45–50, 1996.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper is dedicated to B. Jancovici in honor of his 65th birthday.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02770754