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Rotating Singular Perturbations of the Laplacian

Michele Correggi·Gianfausto Dell'Antonio
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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 (ω\to \infty).

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Michele Correggi, Gianfausto Dell'Antonio. 2004-04-29. Rotating Singular Perturbations of the Laplacian. https://doi.org/10.1007/s00023-004-0182-8

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