 03352 Michele Correggi, Gianfausto Dell'Antonio
 Rotating Singular Perturbations of the Laplacian
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Jul 28, 03

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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 selfadjoint 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 timedependent propagator to some oneparameter unitary group as \( \omega \rightarrow \infty \).
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