Integrable three-body systems with distinct two-body forces

Hoppe, Jens; Theisen, Stefan

doi:10.1007/BF00403549

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Integrable three-body systems with distinct two-body forces

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Hoppe, J., & Theisen, S. (1991). Integrable three-body systems with distinct two-body forces. Letters in Mathematical Physics, 22(3), 229-234. doi:10.1007/BF00403549.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5CBB-A

Abstract

Translationally invariant one-dimensional three-body systems with mutually different pair potentials are derived that possess a third constant of motion, both classically and quantum-mechanically; a Lax pair is given, and all (even) regular solutions of the corresponding functional equation are obtained.