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

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, Eastham, M. S. P. and Wood, I . G. 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) , 055207. 10.1088/1751-8113/42/5/055207

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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
Date Type:	Publication
Status:	Published
Schools:	Schools > Engineering
Subjects:	Q Science > QC Physics
Publisher:	IOP
ISSN:	1751-8113
Last Modified:	18 Oct 2022 13:30
URI:	https://orca.cardiff.ac.uk/id/eprint/14130

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