| 書(shū)目名稱 | Pseudo-Hermitian Random Matrices | | 編輯 | Mauricio Porto Pato | | 視頻video | http://file.papertrans.cn/763/762508/762508.mp4 | | 概述 | Deepens understanding of the role that non-Hermiticity plays in various models.Brings together and connects many concepts and results that are scattered throughout the research literature.Accessible t | | 圖書(shū)封面 |  | | 描述 | 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.. | | 出版日期 | Book 2024 | | 關(guān)鍵詞 | Pseudo-Hermiticity; Beta-ensemble; Pseudo-Hermitian beta-ensemble; 2 beta-Dyson index; Symmetry breaking | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-60294-8 | | isbn_softcover | 978-3-031-60296-2 | | isbn_ebook | 978-3-031-60294-8 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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