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Conditions for the spectrum associated with an\ud asymptotically straight leaky wire to comprise\ud the interval (−∞, ∞)

By Brian Malcolm Brown, M.S.P. Eastham and Ian Wood


We consider a quantum (or leaky) wire in the plane, and the wire supports a singular attraction which becomes large at distant points on the wire. An analogous regular potential arises from the motion of a hydrogen atom in an electric field. We prove that, as in the regular case, the spectrum is the whole of (−∞, ∞).\ud \u

Topics: QA299, QA377
Publisher: IOP
Year: 2009
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