Physics of Atomic Nuclei

Intertwining operators and S matrix

G A Kerimov

Published Jun 1, 2002• 3 citations

Abstract

The class of one-dimensional many-body systems related to semisimple Lie groups G is studied. The Hamiltonians of these systems are expressed in terms of Casimir operators (or, equivalently, Laplace-Beltrami operators on symmetric spaces) of underlying symmetry groups G . It turns out that the S matrix for all these problems is related to the intertwining operators for groups G . This connection provides immediately the functional form of the S matrix. Moreover, this connection allows one to prove that multiparticle S -matrix elements can be expressed in terms of two-particle ones.

DOI: 10.1134/1.1490106

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