A Remark on One-Dimensional Many-Body Problems with Point Interactions
Sergio Albeverio, Ludwik Dabrowski, Shao-Ming Fei
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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