Level Crossing in Random Matrices: I. Random perturbation of a fixed matrix
2016 (English)Article in journal (Refereed) Submitted
We consider level crossing in a matrix family H=H0+λVHH0λV where H0H0 is a fixed N×NNN matrix and VV belongs to one of the standard Gaussian random matrix ensembles. We study the probability distribution of level crossing points in the complex plane of λλ, for which we obtain a number of exact, asymptotic and approximate formulas.
Place, publisher, year, edition, pages
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:uu:diva-287795OAI: oai:DiVA.org:uu-287795DiVA: diva2:923461