Name: Pseudo-Hermitian Random Matrices
SKU: 64790537
Price: 3921.00 TWD
Availability: InStock
Author: Mauricio Porto Pato

portada Pseudo-Hermitian Random Matrices

Type

Physical Book

Publisher

Springer International Publishing AG

Author

Mauricio Porto Pato

Year

2025

Pages

178

Format

Paperback

Dimensions

23.5x15.5 cm

ISBN13

9783031602962

Pseudo-Hermitian Random Matrices

Mauricio Porto Pato (Author) · Springer International Publishing AG · Paperback

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Synopsis "Pseudo-Hermitian Random Matrices"

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.