View Item 

Show simple item record

A generalized eigenvalue distribution
dc.contributor.authorHandelman, Michaelen_US
dc.date.accessioned2010-05-06T23:21:39Z
dc.date.available2010-05-06T23:21:39Z
dc.date.issued1978-12en_US
dc.identifier.citationHandelman, Michael (1978). "A generalized eigenvalue distribution." Journal of Mathematical Physics 19(12): 2509-2513. <http://hdl.handle.net/2027.42/71198>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71198
dc.description.abstractThe statistical properties of the eigenvalues of random unitary matrices may be determined from the joint probability density function of the matrix eigenvalues. Earlier theorems have derived the density function for the unitary and symplectic circular ensembles from that for the circular orthogonal ensemble. A method is presented here for successively eliminating variables from the probability density function for the orthogonal circular ensemble; the method generalizes an earlier result, and the resulting function appears to represent the behavior of eigenvalues from a new series of matrix ensembles.en_US
dc.format.extent3102 bytes
dc.format.extent363424 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleA generalized eigenvalue distributionen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71198/2/JMAPAQ-19-12-2509-1.pdf
dc.identifier.doi10.1063/1.523633en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceF. J. Dyson, J. Math. Phys. 3, 140, 157, 166 (1962); F. J. Dyson and M. L. Mehta, J. Math. Phys. 4, 701 (1963).en_US
dc.identifier.citedreferenceM. L. Mehta and F. J. Dyson, J. Math. Phys. 4, 713 (1963); M. L. Mehta, Random Matrices (Academic, New York, 1967).en_US
dc.identifier.citedreferenceF. J. Dyson, J. Math. Phys. 3, 166 (1962).en_US
dc.identifier.citedreferenceJ. Gunson, J. Math. Phys. 3, 752 (1962).en_US
dc.identifier.citedreferenceA. C. Aitken,Determinants and Matrices (Interscience, New York, 1951).en_US
dc.identifier.citedreferenceC. E. Porter, Ed., Statistical Theories of Spectra: Fluctuations (Academic, New York, 1965), p. 62.en_US
dc.identifier.citedreferenceM. L. Mehta and F. J. Dyson, J. Math. Phys. 4, 713 (1963).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Name:
JMAPAQ-19-12-2509-1.pdf
Size:
354.9KB
Format:
PDF
View/Open

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.