An Extension of Level-spacing Universality

Details An Extension of Level-spacing Universality An Extension of Level-spacing Universality

1997-02-25

arxiv.org/abs/cond-mat/9702213v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, Revtex

Scientific paper

10.1103/PhysRevE.56.264

Dyson's short-distance universality of the correlation functions implies the universality of P(s), the level-spacing distribution. We first briefly review how this property is understood for unitary invariant ensembles and consider next a Hamiltonian H = H_0+ V , in which H_0 is a given, non-random, N by N matrix, and V is an Hermitian random matrix with a Gaussian probability distribution. n-point correlation function may still be expressed as a determinant of an n by n matrix, whose elements are given by a kernel $K(\lambda,\mu)$ as in the H_0=0 case. From this representation we can show that Dyson's short-distance universality still holds. We then conclude that P(s) is independent of H_0.

Affiliated with

Also associated with

No associations

Rating

An Extension of Level-spacing Universality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Extension of Level-spacing Universality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Extension of Level-spacing Universality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75087