Pseudo-Hermitian ensemble of random Gaussian matrices.
basic_science · Level V
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- Record sourced from PubMed, PMID 27575116.
- Also identified by DOI 10.1103/PhysRevE.94.012147.
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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.