Spin dependent point potentials in one and three dimensions

Simple item page
dc.creatorCacciapuoti, Claudio
dc.creatorCarlone, Raffaele
dc.creatorFigari, Rodolfo
dc.date2006-09-19
dc.date2006-12-16
dc.date.accessioned2026-07-07T07:35:27Z
dc.date.available2026-07-07T07:35:27Z
dc.descriptionWe consider a system realized with one spinless quantum particle and an array of $N$ spins 1/2 in dimension one and three. We characterize all the Hamiltonians obtained as point perturbations of an assigned free dynamics in terms of some ``generalized boundary conditions''. For every boundary condition we give the explicit formula for the resolvent of the corresponding Hamiltonian. We discuss the problem of locality and give two examples of spin dependent point potentials that could be of interest as multi-component solvable models.
dc.description15 pages, some misprints corrected, one example added, some references modified or added
dc.identifierhttps://arxiv.org/abs/math-ph/0609055
dc.identifierhttp://arxiv.org/abs/math-ph/0609055
dc.identifierJ. Phys. A: Math. Theor. 40 (2007) 249-261
dc.identifierdoi:10.1088/1751-8113/40/2/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120098
dc.subjectMathematical Physics
dc.titleSpin dependent point potentials in one and three dimensions
dc.typetext

Files

Collections

arXiv