Exact eigenstates for contact interactions

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dc.creatorSuto, Andras
dc.date2001-09-28
dc.date2002-09-17
dc.date.accessioned2026-07-07T02:42:52Z
dc.date.available2026-07-07T02:42:52Z
dc.descriptionWe show that in d>1 dimensions the N-particle kinetic energy operator with periodic boundary conditions has symmetric eigenfunctions which vanish at particle encounters, and give a full description of these functions. In two and three dimensions they represent common eigenstates of bosonic Hamiltonians with any kind of contact interactions, and illustrate a partial `multi-dimensional Bethe Ansatz' or `quantum-KAM theorem'. The lattice analogs of these functions exist for N<=L^[d/2] where L is the linear size of the box, and are common eigenstates of Bose-Hubbard Hamiltonians and spin-1/2 XXZ Heisenberg models.
dc.description23 pages. More references, enlarged introduction, remark 2.9 corrected. To appear in Journal of Statistical Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0109538
dc.identifierhttp://arxiv.org/abs/cond-mat/0109538
dc.identifierJ. Stat. Phys. 109 (2002) 1051-1072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18313
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleExact eigenstates for contact interactions
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