Recovery of eigenvectors from eigenvalues in systems of coupled harmonic oscillators

The eigenvector-eigenvalue identity relates the eigenvectors of a Hermitian matrix to its eigenvalues and the eigenvalues of its principal submatrices in which the jth row and column have been removed. We show that one-dimensional arrays of coupled resonators, described by square matrices with real...

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Bibliographic Details
Main Authors: Henning U. Voss, Douglas J. Ballon
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.012054