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) (KAR id:23934)
| 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. | |
| 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Ian Wood |
| Date Deposited: | 09 Apr 2010 11:00 UTC |
| Last Modified: | 16 Nov 2021 10:02 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/23934 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Wood, Ian.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7181-7075
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|---|---|
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