SISSA Preprints

Spectral Properties of the 2+1 Fermionic Trimer with Contact Interactions

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dc.contributor.author Becker, Simon
dc.contributor.author Michelangeli, Alessandro
dc.contributor.author Ottolini, Andrea
dc.date.accessioned 2018-01-04T08:57:37Z
dc.date.available 2018-01-04T08:57:37Z
dc.date.issued 2017-12-21
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35303
dc.description Partially supported by the 2014-2017 MIUR-FIR grant \Cond-Math: Condensed Matter and Mathematical Physics" code RBFR13WAET (S.B., A.M., A.O.), by the DAAD International Trainership Programme (S.B.), and by a 2017 visiting research fellowship at the International Center for Mathematical Research CIRM, Trento (A.M.). en_US
dc.description.abstract We qualify the main features of the spectrum of the Hamiltonian of point interaction for a three-dimensional quantum system consisting of three point-like particles, two identical fermions, plus a third particle of different species, with two-body interaction of zero range. For arbitrary magnitude of the interaction, and arbitrary value of the mass parameter (the ratio between the mass of the third particle and that of each fermion) above the stability threshold, we identify the essential spectrum, localise and prove the finiteness of the discrete spectrum, qualify the angular symmetry of the eigenfunctions, and prove the monotonicity of the eigenvalues with respect to the mass parameter. We also demonstrate the existence of bound states in a physically relevant regime of masses. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;61/2017/MATE
dc.subject Particle systems with zero-range/contact interactions en_US
dc.subject Ter- Martirosyan-Skornyakov Hamiltonians en_US
dc.subject Fermonic 2+1 system. en_US
dc.title Spectral Properties of the 2+1 Fermionic Trimer with Contact Interactions en_US
dc.type Article en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 61/2017/MATE
dc.relation.firstpage 1 en_US
dc.relation.lastpage 32 en_US


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