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21.6 MB
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3CB166B8CA6518B5BB705AE4273E5A4D00CB482B
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April 20, 2026, 4:31 a.m.
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(Last updated: April 20, 2026, 4:36 a.m.)
| File | Size |
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| Pato M. Pseudo-Hermitian Random Matrices 2024.pdf | 21.6 MB |
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SOURCE: Pato M. Pseudo-Hermitian Random Matrices 2024
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MEDIAINFO
Textbook in PDF format This book is a comprehensive guide to pseudo-Hermitian random matrices, their properties, and their role in many models that are relevant to physical processes. The book starts by showing how the concept of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random matrix theory community. The chapters that follow discuss the consequences of the pseudo-Hermitian condition to the eigen-decomposition of non-Hermitian matrices, and an investigation of pseudo-Hermitian random matrices in tridiagonal form, discussing the scenario with real eigenvalues, and the appearance of complex eigenvalues generated by unbound and non-positive metrics. Subsequently, the author introduces pseudo-Hermitian Gaussian matrices and their properties including characteristic polynomials, and statistical properties of their eigenvalues. Finally, in the last chapter, the time invariance of the metric is upended and a pseudo-Hermitian model with a time dependent metricis constructed to discuss the time evolution of entangled states
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