Spectrum of a spin chain with inverse square exchange

@inproceedings{Frahm1993SpectrumOA,
  title={Spectrum of a spin chain with inverse square exchange},
  author={Holger Frahm},
  year={1993}
}
The spectrum of a one-dimensional chain of SU(n) spins positioned at the static equilibrium positions of the particles in a corresponding classical Calogero system with an exchange interaction inversely proportional to the square of their distance is studied. As in the translationally invariant Haldane–Shastry model the spectrum is found to exhibit a very simple structure containing highly degenerate “super-multiplets”. The algebra underlying this structure is identified and several sets of… CONTINUE READING

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-8 of 8 references

and V

D. Bernard, M. Gaudin, F.D.M. Haldane
Pasquier, Saclay preprint SPhT-93-006 • 1993
View 1 Excerpt

A 25

P. J. Forrester, J. Phys
5447 • 1992

Phys

F. Gebhard, A. E. Ruckenstein
Rev. Lett. 68, 244 • 1992

Soc

H. Kiwata, Y. Akutsu, J. Phys
Japan 61, 1441 • 1992

Math . 24 , 241 ( 1984 ) , [ Zap . Nauch . Semin . LOMI

M. Gaudin
Soviet Math . Dokl . • 1990

Math

L. A. Takhtajan, L. Faddeev, J. Sov
24, 241 (1984), [Zap. Nauch. Semin. LOMI 109, 134 • 1981
View 2 Excerpts

Lett

F. Calogero
Nuovo Cimento 13, 507 • 1975

Orthogonal polynomials

G. Szegő
4th edition, Amer. Math. Soc., Providence • 1975
View 1 Excerpt

Similar Papers

Loading similar papers…