@article {2004, title = {Rotating Singular Perturbations of the Laplacian}, journal = {Ann. Henri Poincare 5 (2004) 773-808}, number = {SISSA;66/2003/FM}, year = {2004}, publisher = {Springer}, abstract = {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).}, doi = {10.1007/s00023-004-0182-8}, url = {http://hdl.handle.net/1963/2945}, author = {Michele Correggi and Gianfausto Dell{\textquoteright}Antonio} }