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Pseudo-Hermitian ensemble of random Gaussian matrices

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Author(s):
Marinello, G. ; Pato, M. P.
Total Authors: 2
Document type: Journal article
Source: PHYSICAL REVIEW E; v. 94, n. 1, p. 8-pg., 2016-07-29.
Abstract

It is shown how pseudo-Hermiticity, a necessary condition satisfied by operators of PT symmetric systems can be introduced in the three Gaussian classes of random matrix theory. The model describes transitions from real eigenvalues to a situation in which, apart from a residual number, the eigenvalues are complex conjugate. (AU)

FAPESP's process: 11/18998-2 - Dynamics of many-body systems III
Grantee:Mahir Saleh Hussein
Support Opportunities: Research Projects - Thematic Grants