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

Brown, Brian Malcolm and Eastham, M.S.P. and Wood, Ian (2009) Conditions for the spectrum associated with an asymptotically straight leaky wire to comprise the interval (−∞, ∞). Journal of Physics A: Mathematical and Theoretical, 42 (5). ISSN 1751-8113. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1088/1751-8113/42/5/055207

Abstract

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 (−∞, ∞).

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 09 Apr 2010 11:00
Last Modified: 28 Jul 2014 08:12
Resource URI: https://kar.kent.ac.uk/id/eprint/23934 (The current URI for this page, for reference purposes)
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