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...

תיאור מלא

שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Pato, Mauricio Porto (Author)
מחבר תאגידי: SpringerLink (Online service)
פורמט: אלקטרוני ספר אלקטרוני
שפה:אנגלית
יצא לאור: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
מהדורה:1st ed. 2024.
נושאים:
גישה מקוונת:https://doi.org/10.1007/978-3-031-60294-8
תגים: הוספת תג
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תוכן הענינים:
  • 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.