Background
Elizalde, Emilio was born on March 8, 1950 in Balaguer, Lleida, Spain. Son of Hermenegildo and Maria (Rius) Elizalde.
(Zeta-function regularization is a powerful method in pert...)
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, topological symmetry breaking). The formulas some of which are new can be used for accurate numerical calculations. The book is to be considered as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice.
http://www.amazon.com/Physical-Applications-Spectral-Functions-Monographs/dp/3540602305%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3540602305
http://www.amazon.com/Physical-Applications-Spectral-Functions-Paperback/dp/B010WF07C8%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3DB010WF07C8
( Zeta-function regularization is a powerful method in pe...)
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.
http://www.amazon.com/Physical-Applications-Spectral-Functions-Lecture/dp/3642294049%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D3642294049
(This book is the result of several years of work by the a...)
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 presented. On the other hand, the authors show explicitly how to make use of such formulas and techniques in practical applications to physical problems of very different nature. Virtually all types of zeta functions are dealt with in the book.
http://www.amazon.com/Zeta-Regularization-Techniques-With-Applications/dp/9810214413%3FSubscriptionId%3DAKIAJRRWTH346WSPOAFQ%26tag%3Dprabook-20%26linkCode%3Dsp1%26camp%3D2025%26creative%3D165953%26creativeASIN%3D9810214413
Elizalde, Emilio was born on March 8, 1950 in Balaguer, Lleida, Spain. Son of Hermenegildo and Maria (Rius) Elizalde.
He finished double undergraduate majors in Physics and Mathematics at the University of Barcelona in 1972 and 1973, followed by a masters and later a Ph.D. (1976) degree at the same institution.
The years immediately after the death of Franco were chaotic, offering young academics few opportunities, and so Elizalde spent his postdoctoral years abroad with Rudolf Haag at the II. Institut für Theoretische Physik of the Hamburg University. Later he was to return to the Department of Theoretical Physics of the University of Barcelona as a faculty member. In 1992, he obtained a research position at the Spanish Higher Research Council (CSIC), combining this position with collaborative research and teaching at the University of Barcelona.
His well-regarded book Ten Physical Applications of Spectral Zeta Functions (1995) 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. In 1996, Elizade was a founding scientist in the creation of the "Institut d’Estudis Espacials de Catalunya" (IEEC), a research structure created by the Catalan Government, and in 1999, he played a key role in founding the Institute of Space Sciences (ICE, "Institut de Ciències de l'Espai"). As of 2013, he is still employed at the Institut de Ciències de l'Espai.
As of November 2013, the Astrophysics Data System lists 3035 citations to his publications (self-citations excluded), giving him an h-index of 38. On March 8–10, 2010, in celebration of Elizalde's 60th birthday, a conference was organized to discuss current progress in the main areas of his research: cosmology, quantum vacuum fluctuations and zeta functions. A volume of proceedings was published.
( Zeta-function regularization is a powerful method in pe...)
(This book is the result of several years of work by the a...)
(Zeta-function regularization is a powerful method in pert...)
Member of Planetary Society, American Physical Society, European Physical Society, New York Academy of Sciences, National Geography Society, Cat. Mathematics Society, Real Society Esp de Fis, Society for Industrial and Applied Mathematics, European Mathematics Society, American Mathematics Society.
Married Maria Carme Torrent. Children: Sergi, Aleix.