On Integrability of Many-Body Problems with Point Interactions

Details On Integrability of Many-Body Problems with Point Interactions On Integrability of Many-Body Problems with Point Interactions

2002-05-23

arxiv.org/abs/quant-ph/0205145v1

Operator Theory: Advances and Applications, 132(2002)67-76

Physics

Quantum Physics

10 pages

Scientific paper

A study of the integrability of one-dimensional quantum mechanical many-body systems with general point interactions and boundary conditions describing the interactions which can be independent or dependent on the spin states of the particles is presented. The corresponding Bethe ansatz solutions, bound states and scattering matrices are explicitly given. Hamilton operators corresponding to special spin dependent boundary conditions are discussed.

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