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A Remark on One-Dimensional Many-Body Problems with Point Interactions

Sergio Albeverio·Ludwik Dabrowski·Shao-Ming Fei
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Abstract

The integrability of one dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) $δ$-function interaction there is another singular point interactions which gives rise to a new one-parameter family of integrable quantum mechanical many-body systems. The bound states and scattering matrices are calculated for both bosonic and fermionic statistics.

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Sergio Albeverio, Ludwik Dabrowski, Shao-Ming Fei. 2000-01-25. A Remark on One-Dimensional Many-Body Problems with Point Interactions. https://doi.org/10.1142/s0217979200000601

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