| 書目名稱 | Ten Physical Applications of Spectral Zeta Functions | | 編輯 | Emilio Elizalde | | 視頻video | http://file.papertrans.cn/904/903011/903011.mp4 | | 概述 | Authored by a leading expert in the field.Tutorial and self-contained presentation.Contains both theory and applications.Includes supplementary material: | | 叢書名稱 | Lecture Notes in Physics | | 圖書封面 |  | | 描述 | .Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice..?Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.. | | 出版日期 | Book 2012Latest edition | | 關(guān)鍵詞 | Casimir physics; Elliptic partial differential operators; Regularization and renormalization; Spectral | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-642-29405-1 | | isbn_softcover | 978-3-642-29404-4 | | isbn_ebook | 978-3-642-29405-1Series ISSN 0075-8450 Series E-ISSN 1616-6361 | | issn_series | 0075-8450 | | copyright | Springer-Verlag Berlin Heidelberg 2012 |
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