Level Repulsion in Constrained Gaussian Random-Matrix Ensembles
摘要
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.
引用
@article{arxiv.cond-mat/0603525,
title = {Level Repulsion in Constrained Gaussian Random-Matrix Ensembles},
author = {T. Papenbrock and Z. Pluhar and H. A. Weidenmueller},
journal= {arXiv preprint arXiv:cond-mat/0603525},
year = {2011}
}
备注
20 pages, no figures. New section added