Complete integrability of relativistic Calogero-Moser systems and elliptic function identities

S. N. M. Ruijsenaars1
1Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, München 40, Federal Republic of Germany

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Ruijsenaars, S.N.M., Schneider, H.: A new class of integrable systems and its relation to solitons. Ann. Phys. (N.Y.)170, 370?405 (1986)

Olshanetsky, M.A., Perelomov, A.M.: Classical integrable finite-dimensional systems related to Lie algebras. Phys. Reps.71, 313?400 (1981)

Ruijsenaars, S.N.M.: On one-dimensional integrable quantum systems with infinitely many degrees of freedom. Ann. Phys. (N.Y.)128, 335?362 (1980)

Ruijsenaars, S.N.M.: To appear

Erdélyi, A. (ed.): Higher transcendental functions, Vol. II. Florida: Krieger 1981

Whittaker, E.T., Watson, G.N.: A course of modern analysis. Cambridge: Cambridge University Press 1973

Calogero, F., Marchioro, C., Ragnisco, O.: Exact solution of the classical and quantal one-dimensional many-body problems with the two-body potentialV a (x)=g 2 a 2 sinh?2 ax. Lett. Nuovo Cimento13, 383?390 (1975)

Olshanetsky, M.A., Perelomov, A.M.: Quantum completely integrable systems connected with semi-simple Lie algebras. Lett. Math. Phys.2, 7?13 (1977)

Olshanetsky, M.A., Perelomov, A.M.: Quantum integrable systems related to Lie algebras. Phys. Reps.94, 313?404 (1983)

Ruijsenaars, S.N.M.: Action-angle maps and scattering theory for some finite-dimensional integrable systems (to appear)

Krichever, I.M.: Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. Funct. Anal. Appl.14, 282?290 (1980)

Calogero, F.: Explicitly solvable one-dimensional many-body problems. Lett. Nuovo Cimento13, 411?416 (1975)

Adler, M., van Moerbeke, P.: Linearization of Hamiltonian systems, Jacobi varieties, and representation theory. Adv. Math.38, 318?379 (1980)

Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966

Carey, A.L., Hannabuss, K.C.: Temperature states on loop groups, theta-functions, and the Luttinger model. Canberra preprint, 1985

Palmer, J., Tracy, C.: Two-dimensional Ising correlations: Convergence of the scaling limit. Adv. Appl. Math.2, 329?388 (1981)