%0 Journal Article
%J Ann. Henri Poincare 5 (2004) 773-808
%D 2004
%T Rotating Singular Perturbations of the Laplacian
%A Michele Correggi
%A Gianfausto Dell'Antonio
%X We 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 (\\\\omega \\\\to \\\\infty).
%B Ann. Henri Poincare 5 (2004) 773-808
%I Springer
%G en_US
%U http://hdl.handle.net/1963/2945
%1 1755
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-09-15T08:20:31Z\\nNo. of bitstreams: 1\\nmath-ph0307056.pdf: 360658 bytes, checksum: 16a12ce4dfd525b63e0a6e703ef9d7bf (MD5)
%R 10.1007/s00023-004-0182-8