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

TitleA Remark on One-Dimensional Many-Body Problems with Point Interactions
Publication TypeJournal Article
Year of Publication2000
AuthorsAlbeverio, S, Dabrowski, L, Fei, S-M
JournalInt. J. Mod. Phys. B 14 (2000) 721-727
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) $\\\\delta$-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.

URLhttp://hdl.handle.net/1963/3214
DOI10.1142/S0217979200000601

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