{"product_id":"non-self-adjoint-schrodinger-operator-with-a-periodic-potential-von-oktay-veliev-1","title":"Non-Self-Adjoint Schrödinger Operator with a Periodic Potential","description":"\n                                \n                \u003cp\u003eThis book offers a comprehensive exploration of spectral theory for non-self-adjoint differential operators with complex-valued periodic coefficients, addressing one of the most challenging problems in mathematical physics and quantum mechanics: constructing spectral expansions in the absence of a general spectral theorem. It examines scalar and vector Schrödinger operators, including those with PT-symmetric periodic optical potentials, and extends these methodologies to higher-order operators with periodic matrix coefficients.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eThe second edition significantly expands upon the first by introducing two new chapters that provide a complete description of the spectral theory of non-self-adjoint differential operators with periodic coefficients. The first of these new chapters focuses on the vector case, offering a detailed analysis of the spectral theory of non-self-adjoint Schrödinger operators with periodic matrix potentials. It thoroughly examines eigenvalues, eigenfunctions, and spectral expansions for systems of one-dimensional Schrödinger operators. The second chapter develops a comprehensive spectral theory for all ordinary differential operators, including higher-order and vector cases, with periodic coefficients. It also includes a complete classification of the spectrum for PT-symmetric periodic differential operators, making this edition the most comprehensive treatment of these topics to date.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003eThe book begins with foundational topics, including spectral theory for Schrödinger operators with complex-valued periodic potentials, and systematically advances to specialized cases such as the Mathieu–Schrödinger operator and PT-symmetric periodic systems. By progressively increasing the complexity, it provides a unified and accessible framework for students and researchers. The approaches developed here open new horizons for spectral analysis, particularly in the context of optics, quantum mechanics, and mathematical physics.\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031902581\"\u003e\u003ch3\u003eSpectral Theories for Scalar and Vectorial Cases and Their Generalizations\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783031902581","offer_id":55111265845573,"sku":"9783031902581","price":171.19,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/08eb8a85-e6ec-41f7-8f00-6d37549b892e.jpg?v=1778732998","url":"https:\/\/shop.autorenwelt.de\/products\/non-self-adjoint-schrodinger-operator-with-a-periodic-potential-von-oktay-veliev-1","provider":"Autorenwelt Shop","version":"1.0","type":"link"}