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