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Variance of deviations from the average mode count for rectangular wave guides

Variance of deviations from the average mode count for rectangular wave guides
Variance of deviations from the average mode count for rectangular wave guides
The periodic orbit theory of quantum physics is used to find a series form expression for the variance of the difference between the true number of modes in a rectangular wave guide at a particular wave number and the average number. The resulting expression corresponds to one known for the saturation spectral rigidity and is independent of boundary conditions. Corrections for degenerate orbits are given for selected cases and the results are found to agree well with numerical estimates.
spectral rigidity, trace formula, mode count deviation
1529-7853
19-24
Wright, M. C. M.
b7209187-993d-4f18-8003-9f41aaf88abf
Wright, M. C. M.
b7209187-993d-4f18-8003-9f41aaf88abf

Wright, M. C. M. (2001) Variance of deviations from the average mode count for rectangular wave guides. Acoustic Research Letters Online, 2 (1), 19-24. (doi:10.1121/1.1346900).

Record type: Article

Abstract

The periodic orbit theory of quantum physics is used to find a series form expression for the variance of the difference between the true number of modes in a rectangular wave guide at a particular wave number and the average number. The resulting expression corresponds to one known for the saturation spectral rigidity and is independent of boundary conditions. Corrections for degenerate orbits are given for selected cases and the results are found to agree well with numerical estimates.

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More information

Published date: 2001
Keywords: spectral rigidity, trace formula, mode count deviation

Identifiers

Local EPrints ID: 13989
URI: http://eprints.soton.ac.uk/id/eprint/13989
DOI: doi:10.1121/1.1346900
ISSN: 1529-7853
PURE UUID: 9c45ca4a-f65a-4a15-9209-d08c07ef9a49
ORCID for M. C. M. Wright: ORCID iD orcid.org/0000-0001-9393-4918

Catalogue record

Date deposited: 11 Jan 2005
Last modified: 16 Mar 2024 02:47

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Author: M. C. M. Wright ORCID iD

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