Methods of Negative-Factor-Counting in the Theory of the Frequency Spectrum of Disordered Lattices
Open Access
- 1 January 1962
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics Supplement
- Vol. 23, 3-21
- https://doi.org/10.1143/ptps.23.3
Abstract
The theories of Dyson, Bellman, Schmidt, Dean and Martin on the frequency spectrum of disordered lattices are reviewed from a standpoint of regarding these theories as based on an intimate connection between the density of eigenfrequency distribution and the number of negative factors in a product representation of the secular determinant. The results of the numerical calculations carried out by Dean, Martin and Bacon are examined by contrasting them with the results of Flinn and Maradudin.Keywords
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