We study a system of a quantum particle interacting with a singular timedependent 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 the unitary dynamics. 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→∞.
CORREGGI M, & DELL'ANTONIO G (2004). Rotating Singular Perturbations of the Laplacian. ANNALES HENRI POINCARE', 5, 773-808 [10.1007/s00023-004-0182-8].
Titolo: | Rotating Singular Perturbations of the Laplacian | |
Autori: | ||
Data di pubblicazione: | 2004 | |
Rivista: | ||
Citazione: | CORREGGI M, & DELL'ANTONIO G (2004). Rotating Singular Perturbations of the Laplacian. ANNALES HENRI POINCARE', 5, 773-808 [10.1007/s00023-004-0182-8]. | |
Abstract: | We study a system of a quantum particle interacting with a singular timedependent 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 the unitary dynamics. 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→∞. | |
Handle: | http://hdl.handle.net/11590/143387 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |