Skip to main content

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

Brown, Brian Malcolm, Eastham, M.S.P., 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. (doi:10.1088/1751-8113/42/5/055207) (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)

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. (Contact us about this Publication)
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
DOI/Identification number: 10.1088/1751-8113/42/5/055207
Subjects: Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus
Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 09 Apr 2010 11:00 UTC
Last Modified: 01 Aug 2019 10:33 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23934 (The current URI for this page, for reference purposes)
Wood, Ian: https://orcid.org/0000-0001-7181-7075
  • Depositors only (login required):