Non-Hermitian Random Matrices and the Calogero-Sutherland Model
Non-Hermitian Random Matrices and the Calogero-Sutherland Model
We study the statistical properties of the eigenvalues of non-Hermitian operators associated with the dissipative complex systems. By considering the Gaussian ensembles of such operators, a hierarchical relation between the correlators is obtained. Further, the eigenvalues are found to behave like particles moving on a complex plane under two-body (inverse …