TY - JOUR
T1 - Rotating Singular Perturbations of the Laplacian
JF - Ann. Henri Poincare 5 (2004) 773-808
Y1 - 2004
A1 - Michele Correggi
A1 - Gianfausto Dell'Antonio
AB - 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).
PB - Springer
UR - http://hdl.handle.net/1963/2945
U1 - 1755
U2 - Mathematics
U3 - Mathematical Physics
ER -