Rotating Singular Perturbations of the Laplacian

Simple item page
dc.creatorCorreggi, Michele
dc.creatorDell'Antonio, Gianfausto
dc.date2003-07-28
dc.date2004-04-29
dc.date.accessioned2026-07-07T04:30:25Z
dc.date.available2026-07-07T04:30:25Z
dc.descriptionWe study a system of a quantum particle interacting with a singular time-dependent uniformly rotating potential in 2 and 3 dimensions: in particular we consider an interaction with support on a point (rotating point interaction) and on a set of codimension 1 (rotating blade). We prove the existence of the Hamiltonians of such systems as suitable self-adjoint operators and we give an explicit expression for their unitary semigroups. Moreover we analyze the asymptotic limit of large angular velocity and we prove strong convergence of the time-dependent propagator to some one-parameter unitary group as (ω\to \infty).
dc.descriptionMinor changes, to appear in Ann. H. Poincare', 35 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0307056
dc.identifierhttp://arxiv.org/abs/math-ph/0307056
dc.identifierAnn. Henri Poincare 5 (2004) 773-808
dc.identifierdoi:10.1007/s00023-004-0182-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57458
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleRotating Singular Perturbations of the Laplacian
dc.typetext

Files

Collections

arXiv