Level Repulsion in Constrained Gaussian Random-Matrix Ensembles

Details Level Repulsion in Constrained Gaussian Random-Matrix Ensembles Level Repulsion in Constrained Gaussian Random-Matrix Ensembles

2006-03-20

arxiv.org/abs/cond-mat/0603525v2

J.Phys.A39:9709-9726,2006

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, no figures. New section added

Scientific paper

10.1088/0305-4470/39/31/004

Introducing sets of constraints, we define new classes of random-matrix ensembles, the constrained Gaussian unitary (CGUE) and the deformed Gaussian unitary (DGUE) ensembles. The latter interpolate between the GUE and the CGUE. We derive a sufficient condition for GUE-type level repulsion to persist in the presence of constraints. For special classes of constraints, we extend this approach to the orthogonal and to the symplectic ensembles. A generalized Fourier theorem relates the spectral properties of the constraining ensembles with those of the constrained ones. We find that in the DGUEs, level repulsion always prevails at a sufficiently short distance and may be lifted only in the limit of strictly enforced constraints.

Affiliated with

Also associated with

No associations

Rating

Level Repulsion in Constrained Gaussian Random-Matrix Ensembles 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 Level Repulsion in Constrained Gaussian Random-Matrix Ensembles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Level Repulsion in Constrained Gaussian Random-Matrix Ensembles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-450836