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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Physics Mathematical physics

• Celý názov: Pseudo-Hermitian Random Matrices
• Autor: Mauricio Porto Pato
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 140
• EAN: 9783031602931
• ID: 45727515
• Nakladateľ: Springer, Berlin
• Rozmery: 235 × 155 mm
• Dátum vydania: 11. October 2024

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