Table of Contents: Pseudo-Hermitian Random Matrices

Pseudo-Hermitian Random Matrices [E-Book] / by Mauricio Porto Pato.

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...

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Personal Name(s):	Pato, Mauricio Porto, author
Edition:	1st edition 2024.
Imprint:	Cham : Springer, 2024
Physical Description:	XVII, 178 pages 58 illustrations, 49 illustrations in color (online resource)
Note:	englisch
ISBN:	9783031602948
DOI:	10.1007/978-3-031-60294-8
Subject (LOC):	Algebras, Linear. Mathematical physics. Nuclear physics. Probabilities. System theory.

Chapter 1 Introduction
Chapter 2 The pseudo-Hermitian condition
Chapter 3 Pseudo-Hermitian b-Hermite ensemble with real eigenvalues1
Chapter 4 Pseudo-Hermitian 𝜷-Hermite ensemble with an unbound metric2
Chapter 5 Pseudo-Hermitian 𝜷-Hermite ensemble with an unbound metric
Chapter 6 Pseudo-Hermitian b-Laguerre ensemble with real eigenvalues3
Chapter 7 Pseudo-Hermitian b-Laguerre ensemble with unbound metric
Chapter 8 Pseudo-Hermitian 𝜷-Laguerre ensemble with non-positive metric
Chapter 9 The pseudo-Hermitian 𝜷-Jacobi ensemble4
Chapter 10 Pseudo-Hermitian Gaussian matrices5
Chapter 11 Pseudo-Hermitian anti-Hermitian Gaussian matrices6
Chapter 12 Average characteristic polynomials7
Chapter 13 Spectral properties of pseudo-Hermitian matrices8
Chapter 14 Eigenvalues as quasi-particles
Chapter 15 Entanglement of pseudo-Hermitian random states9.