Nonrelativistic factorizable scattering theory and the Calogero-Sutherland model
- Department of Physics, Ewha Womans University, Seoul 120-750 (Korea)
- Department of Physics, Kyung Hee University, Seoul 130-701 (Korea)
We solve the SU({ital N})-invariant Yang-Baxter equations imposing only the unitarity condition. The usual {ital S} matrices should satisfy the crossing symmetry which originates from the {ital CPT} invariance of relativistic quantum-field theory. In this paper, we consider nonrelativistic SU({ital N})-invariant factorizable {ital S} matrices by relaxing the crossing symmetry and making the amplitudes for creating and annihilating new particles vanish and find that these {ital S} matrices are exactly the same as those of the multicomponent Calogero-Sutherland model, the quantum-mechanical model with the hyperbolic potential between particles and antiparticles. This particular solution is of interest since it cannot be obtained as a nonrelativistic limit of any known relativistic solutions of the SU({ital N})-invariant Yang-Baxter equations. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 397543
- Journal Information:
- Physical Review A, Vol. 54, Issue 6; Other Information: PBD: Dec 1996
- Country of Publication:
- United States
- Language:
- English
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