Ten Physical Applications of Spectral Zeta Functions

Ten Physical Applications of Spectral Zeta Functions
Author :
Publisher : Springer Science & Business Media
Total Pages : 229
Release :
ISBN-10 : 9783540447573
ISBN-13 : 3540447571
Rating : 4/5 (73 Downloads)

Book Synopsis Ten Physical Applications of Spectral Zeta Functions by : Emilio Elizalde

Download or read book Ten Physical Applications of Spectral Zeta Functions written by Emilio Elizalde and published by Springer Science & Business Media. This book was released on 2008-12-04 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monography is, in the first place, a commented guide that invites the reader to plunge into the thrilling world ofzeta functions and their appli cations in physics. Different aspects ofthis field ofknowledge are considered, as one can see specifically in the Table of Contents. The level of the book is elementary. It is intended for people with no or little knowledge of the subject. Everything is explained in full detail, in particular, the mathematical difficulties and tricky points, which too often constitute an insurmountable barrier for those who would have liked to be come aquainted with that matter but never dared to ask (or did not manage to understand more complete, higher-level treatises). In this sense the present work is to be considered as a basic introduction and exercise collection for other books that have appeared recently. Concerning the physical applications of the method ofzeta-function reg ularization here described, quite a big choice is presented. The reader must be warned, however, that I have not tried to explain the underlying physi cal theories in complete detail (since this is undoubtedly out of scope), but rather to illustrate - simply and clearly - the precise way the method must be applied. Sometimes zeta regularization is explicitly compared in the text with other procedures the reader is supposed to be more familiar with (such as cut-off or dimensional regularization).


Ten Physical Applications of Spectral Zeta Functions Related Books

Ten Physical Applications of Spectral Zeta Functions
Language: en
Pages: 229
Authors: Emilio Elizalde
Categories: Science
Type: BOOK - Published: 2008-12-04 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This monography is, in the first place, a commented guide that invites the reader to plunge into the thrilling world ofzeta functions and their appli cations in
Ten Physical Applications of Spectral Zeta Functions
Language: en
Pages: 234
Authors: Emilio Elizalde
Categories: Science
Type: BOOK - Published: 2012-05-31 - Publisher: Springer

DOWNLOAD EBOOK

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
Zeta Regularization Techniques with Applications
Language: en
Pages: 344
Authors: E. Elizalde
Categories: Science
Type: BOOK - Published: 1994 - Publisher: World Scientific

DOWNLOAD EBOOK

This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a co
Zeta Regularization Techniques With Applications
Language: en
Pages: 336
Authors: Andrei A Bytsenko
Categories: Science
Type: BOOK - Published: 1994-05-16 - Publisher: World Scientific

DOWNLOAD EBOOK

This book is the result of several years of work by the authors on different aspects of zeta functions and related topics. The aim is twofold. On one hand, a co
Spectral Functions in Mathematics and Physics
Language: en
Pages: 207
Authors: Klaus Kirsten
Categories: Mathematics
Type: BOOK - Published: 2001-12-13 - Publisher: CRC Press

DOWNLOAD EBOOK

The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for expli