Last edited by JoJozragore

Tuesday, August 11, 2020 | History

1 edition of **Ten Physical Applications of Spectral Zeta Functions** found in the catalog.

- 189 Want to read
- 38 Currently reading

Published
**2012**
by Springer Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- String Theory Quantum Field Theories,
- Mathematical physics,
- Physics,
- Mathematical Applications in the Physical Sciences,
- Mathematical Methods in Physics

**Edition Notes**

Statement | by Emilio Elizalde |

Series | Lecture Notes in Physics -- 855 |

Contributions | SpringerLink (Online service) |

The Physical Object | |
---|---|

Format | [electronic resource] / |

ID Numbers | |

Open Library | OL27091316M |

ISBN 10 | 9783642294051 |

Ten physical applications of spectral zeta functions. By Emilio Elizalde Abstract. 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 Author: Emilio Elizalde. Spectral zeta functions of graphs and the Riemann zeta function in the critical strip Fabien Friedli and Anders Karlsson ⇤ Septem Abstract We initiate the study of spectral zeta functions ⇣ X for ﬁnite and inﬁnite graphs X, instead of the Ihara zeta function, with a .

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast 5/5(1). The spectral zeta function Bernd Ammann June 4, Abstract In this talk we introduce spectral zeta functions. The spectral zeta function of the Laplace-Beltrami operator was already introduced by Mi-nakshisundaram and Pleijel in , see [6]. The concept was generalized in several directions, e.g. for large classes of elliptic pseudodi erential.

Ten Physical Applications of Spectral Zeta Functions Full Description: "Zeta-function regularization is a powerful method in perturbation theory, and this book is a . E. Elizalde () Ten Physical Applications of Spectral Zeta Functions. Lecture Notes in Physics. New Series m: Monographs, Vol. 35, Springer-Verlag, Berlin.

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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 theBrand: Springer-Verlag Berlin Heidelberg.

The heat kernel, as a kind of spectral functions, has close connections with the spectrum asymptotics [4] and other spectral functions, such as the spectral zeta function [5, 6] and the counting. Zeta-function regularization is a powerful method in perturbation theory. This book is meant as a 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 (e.g.

Casimir effect, gravity and string theory, high-temperature phase transition. Zeta-function regularization is a powerful method in perturbation theory. This book is meant as a 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 (e.g.

Casimir effect, gravity and string theory, high-temperature phase transition Cited by: Get this from a library. Ten physical applications of spectral zeta functions.

[E Elizalde] -- Zeta-function regularization is a powerful method in perturbation theory. This book is meant as a guide for the student of this subject.

Everything is explained in detail, in particular the. Ten Physical Applications of Spectral Zeta Functions PDF By:Emilio Elizalde Published on by Springer. Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject.

springer, 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.

Ten Physical Applications of Spectral Zeta Functions Emilio Elizalde Zeta-function regularization is a powerful method in perturbation theory, and this book is a.

The Paperback of the Ten Physical Applications of Spectral Zeta Functions by Emilio Elizalde at Barnes & Noble. FREE Shipping on $35 or more. Due to COVID, orders may be delayed. Ten Physical Applications of Spectral Zeta Functions. Full Description: "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. His well-regarded book Ten Physical Applications of Spectral Zeta Functions () was written during the period of his association with CSIC. Although supposedly an "elementary" book on the subject, this book includes an important generalization of the Chowla–Selberg formula.

Ten Physical Applications of Spectral Zeta Functions Springer. Contents INTRODUCTION AND OUTLOOK 1 Zeta functions 1 The Riemann zeta function 1 The Hurwitz zeta function 3 The Epstein zeta function 4 A word on related bibliography 6 Zeta function regularization 6.

Ten physical applications of spectral zeta functions Abstract. Zeta-function regularization is a powerful method in perturbation theory. This book is meant as a 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 Cited by: In Ref. [6], a first attempt was done to try to extend this expression to inhomogeneous zeta functions (very important for physical applications, see [7]), but remaining always in two dimensions Author: Emilio Elizalde.

Elizalde, Ten Physical Applications of Spectral Zeta Functions, Lecture Notes in Physics. New Series M, Monographs, M35 (Springer-Verlag, ) "Zeta-function regularization is a powerful method in perturbation theory.

This book is meant as a guide for the student of this subject. Download Free: Ten Physical Applications Of Spectral Zeta Functions Lecture Notes In Read E-Book Online Cost-free Ten Physical Applications Of Spectral Zeta Functions Lecture Notes In PDF Textbooks, Down load absolutely free Lectures Notes, Papers and eBooks connected to programming, computer science, Website design, mobile app enhancement.

A: Math. Gen. 19 [2] Elizalde E Ten physical applications of spectral zeta functions (Berlin: Springer) [3] Crandall R E 'On the quantum zeta function' J. Phys. A: Math. Gen. 29 [4] Belloni M and Robinett R W 'Constraints on Airy function zeros. Quantum Mechanics for Pedestrians 2: Applications and Extensions - Ebook written by Jochen Pade.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Quantum Mechanics for Pedestrians 2: Applications and : Jochen Pade.

Zeta and q-Zeta Functions and Associated Series and Integrals, by H. Srivastava and Junesang Choi, Elsevier Inc., New Directions in Value-distribution Theory of Zeta and L-functions: Wurzburg Conference, October(Berichte aus der Mathematik), Rasa Steuding, Jörn Steuding (Eds.), Shaker Verlag GmbH, Germany (Decem Ten Physical Applications of Spectral Zeta Functions: Edition 2 Book Zeta-function regularization is a powerful method in perturbation theory, and this book is a.

The zeta function of a mathematical operator is a function defined as = −for those values of s where this expression exists, and as an analytic continuation of this function for other values of "tr" denotes a functional trace.

The zeta function may also be expressible as a spectral zeta function in terms of the eigenvalues of the operator by = ∑ −.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 considerable number of useful formulas, essential for dealing with the different aspects of zeta-function regularization (analytic continuation, asymptotic expansions), many of which appear here, in book format, for the first time are.Zeta-function regularization is a powerful method in spectral theory, with many applications in physics, including the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime.

See Ten Physical Applications of Spectral Zeta Functions, or these lecture notes.