Spectrum of Hamiltonian Matrices
Publisher
The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction, presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
Random Hamiltonian Matrices are a Lie Algebra that can be connected to approximations of random Hamiltonian systems near equilibria. In Alan Edelman’s paper, he was able to apply Householder reflections to separate the random variables corresponding to the spectrum from all other variables in the random Gaussian Matrix. In this thesis, motivated by ideas coming from generalized subgroup algorithms as well as Edelman’s techniques, we make significant inroads on extending this type of spectral analysis to the much more challenging case of the Hamiltonian matrix ensemble.Type
textElectronic Dissertation
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Graduate CollegeMathematics