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Non-Hermitian random matrices and the Calogero-Sutherland model

AuthorsGomila, Damià ; Colet, Pere ; Oppo, Gian-Luca; San Miguel, Maxi
Issue Date2001
PublisherAmerican Physical Society
CitationPhysical Review Letters 87(19): 4102/1- 194102/4 (2001)
AbstractThe statistical properties of the eigenvalues of non-Hermitian systems were studied. It was found that the distribution of the eigenvalue is governed by a diffusion equation in which system dependence enters only through the evolution parameter ∧ ∝ Y - Y0 related to complexity of the system. The spectral correlators for a given NHRE depend only on the associated ∧ value.
Identifiersdoi: 10.1103/PhysRevLett.87.194102
issn: 0031-9007
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(IFISC) Artículos
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