{"product_id":"pseudo-hermitian-random-matrices-von-mauricio-porto-pato","title":"Pseudo-Hermitian Random Matrices","description":"\n                                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.\n                \n                \u003cp\u003e\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031602962\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031602931\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783031602962","offer_id":55356064858437,"sku":"9783031602962","price":128.39,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783031602931","offer_id":49634124235077,"sku":"9783031602931","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/d4c7fd32-2df0-432d-ab52-5b76f588bf9e.jpg?v=1763269714","url":"https:\/\/shop.autorenwelt.de\/en\/products\/pseudo-hermitian-random-matrices-von-mauricio-porto-pato","provider":"Autorenwelt Shop","version":"1.0","type":"link"}