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Many body problems with "spin"-related contact interactions
Institut für Angewandte Mathematik, Universität Bonn.
Institut für Angewandte Mathematik, Universität Bonn.
Luleå tekniska universitet.
2001 (English)In: Reports on mathematical physics, ISSN 0034-4877, E-ISSN 1879-0674, Vol. 47, no 2, p. 157-166Article in journal (Refereed) Published
Abstract [en]

We study quantum mechanical systems with "spin"-related contact interactions in one dimension. The boundary conditions describing the contact interactions are dependent on the spin states of the particles. In particular we investigate the integrability of N-body systems with δ-interactions and point spin couplings. Bethe ansatz solutions, bound states and scattering matrices are explicitly given. The cases of generalized separated boundary condition and some Hamiltonian operators corresponding to special spin related boundary conditions are also discussed.

Place, publisher, year, edition, pages
2001. Vol. 47, no 2, p. 157-166
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6296DOI: 10.1016/S0034-4877(01)89033-9ISI: 000168579800001Scopus ID: 2-s2.0-0042964911Local ID: 481bbf10-a74a-11de-8293-000ea68e967bOAI: oai:DiVA.org:ltu-6296DiVA, id: diva2:979173
Note
Validerad; 2001; 20090922 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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