Ten physical applications of spectral zeta functions / E. Elizalde

Public ISBD Titre : Ten physical applications of spectral zeta functions Type de document : texte imprimé Auteurs : E. Elizalde, Auteur Editeur : Berlin : Springer Année de publication : 1995 Collection : lecture notes in physics Sous-collection : Monographs num. m35 Importance : 1 vol. (224 p.) Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-3-540-60230-9 Note générale : 978-3-540-60230-9 Langues : Anglais (eng) Catégories : Physique Mots-clés : Functions Zeta Mathematical physics Fonctions zêta Physique mathématique Index. décimale : 530.1 Physique mathématique Résumé : 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. Note de contenu : Sommaire Introduction and Outlook Mathematical Formulas Involving the Different Zeta Functions ATreatment of the Nonpolynomial Contributions Application to Calculate Partition Functions of Strings and Membranees Analytical and Numerical Study of Inhomogeneous Epstein and EpsteinHurwitz Zeta Functions Physical Application The Casimir Effecte Five Physical Applications of the Inhomogeneous Generalized EpsteinHurwitz Zeta Functions Miscellaneous Applications Combining Zeta with Other Regularization Procedures Applications to Gravity Strings and pBranes Eleventh Application Topological Symmetry Breaking in SelfInteracting Theories Twelfth Application Cosmology and the Quantum Vacuum References Index Droits d'auteur Côte titre : Fs/14255-14256 Ten physical applications of spectral zeta functions [texte imprimé] / E. Elizalde, Auteur . - Berlin : Springer, 1995 . - 1 vol. (224 p.) : ill. ; 24 cm. - (lecture notes in physics. Monographs; m35) . ISBN : 978-3-540-60230-9 978-3-540-60230-9 Langues : Anglais (eng) Catégories : Physique Mots-clés : Functions Zeta Mathematical physics Fonctions zêta Physique mathématique Index. décimale : 530.1 Physique mathématique Résumé : 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. Note de contenu : Sommaire Introduction and Outlook Mathematical Formulas Involving the Different Zeta Functions ATreatment of the Nonpolynomial Contributions Application to Calculate Partition Functions of Strings and Membranees Analytical and Numerical Study of Inhomogeneous Epstein and EpsteinHurwitz Zeta Functions Physical Application The Casimir Effecte Five Physical Applications of the Inhomogeneous Generalized EpsteinHurwitz Zeta Functions Miscellaneous Applications Combining Zeta with Other Regularization Procedures Applications to Gravity Strings and pBranes Eleventh Application Topological Symmetry Breaking in SelfInteracting Theories Twelfth Application Cosmology and the Quantum Vacuum References Index Droits d'auteur Côte titre : Fs/14255-14256

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
Fs/14255	Fs/14255-14256	livre	Bibliothéque des sciences	Anglais	Disponible Disponible
Fs/14256	Fs/14255-14256	livre	Bibliothéque des sciences	Anglais	Disponible Disponible

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