Casimir Force Casimir Operators And The Riemann Hypothesis

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Casimir Force Casimir Operators And The Riemann Hypothesis

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Author : Gerrit Dijk
language : en
Publisher: Walter de Gruyter
Release Date : 2010-10-19

Casimir Force Casimir Operators And The Riemann Hypothesis written by Gerrit Dijk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Mathematics categories.

This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis – Mathematics for Innovation in Industry and Science" held in November 2009 in Fukuoka (Japan). The motive for the conference was the celebration of the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. The conference focused on the following topics: Casimir operators in harmonic analysis and representation theory Number theory, in particular zeta functions and cryptography Casimir force in physics and its relation with nano-science Mathematical biology Importance of mathematics for innovation in industry The latter topic was inspired both by the call for innovation in industry worldwide and by the fact that Casimir, who was the director of Philips research for a long time in his career, had an outspoken opinion on the importance of fundamental science for industry. These proceedings are of interest both to research mathematicians and to those interested in the role science, and in particular mathematics, can play in innovation in industry.

Casimir Force Casimir Operators And The Riemann Hypothesis

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Author : Gerrit van Dijk
language : en
Publisher: Walter de Gruyter
Release Date : 2010

Casimir Force Casimir Operators And The Riemann Hypothesis written by Gerrit van Dijk and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Business & Economics categories.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Quantum Field Theory Iii Gauge Theory

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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-17

Quantum Field Theory Iii Gauge Theory written by Eberhard Zeidler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-17 with Mathematics categories.

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

Educational Interfaces Between Mathematics And Industry

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Author : Alain Damlamian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-09

Educational Interfaces Between Mathematics And Industry written by Alain Damlamian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-09 with Education categories.

This book is the “Study Book” of ICMI-Study no. 20, which was run in cooperation with the International Congress on Industry and Applied Mathematics (ICIAM). The editors were the co-chairs of the study (Damlamian, Straesser) and the organiser of the Study Conference (Rodrigues). The text contains a comprehensive report on the findings of the Study Conference, original plenary presentations of the Study Conference, reports on the Working Groups and selected papers from all over world. This content was selected by the editors as especially pertinent to the study each individual chapter represents a significant contribution to current research.

Exploring The Riemann Zeta Function

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Author : Hugh Montgomery
language : en
Publisher: Springer
Release Date : 2017-09-11

Exploring The Riemann Zeta Function written by Hugh Montgomery and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects. The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.

The Casimir Effect

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Author : K. A. Milton
language : en
Publisher: World Scientific
Release Date : 2001

The Casimir Effect written by K. A. Milton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction OCo which may be either attractive or repulsive OCo between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically transparent Green''s function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics. Contents: Introduction to the Casimir Effect; Casimir Force Between Parallel Plates; Casimir Force Between Parallel Dielectrics; Casimir Effect with Perfect Spherical; The Casimir Effect of a Dielectric Ball: The Equivalence of the Casimir Effect and van der Waals Forces; Application to Hadronic Physics: Zero-Point Energy in the Bag Model; Casimir Effect in Cylindrical Geometries; Casimir Effect in Two Dimensions: The Maxwell-Chern-Simons Casimir Effect; Casimir Effect on a D -dimensional Sphere; Cosmological Implications of the Casimir Effect; Local Effects; Sonoluminescene and the Dynamical Casimir Effect; Radiative Corrections to the Casimir Effect; Conclusions and Outlook; Appendices: Relation of Contour Integral Method to Green''s Function Approach; Casimir Effect for a Closed String. Readership: High-energy, condensed-matter and nuclear physicists."

Casimir Effect The Physical Manifestations Of Zero Point Energy

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Author : Kimball A Milton
language : en
Publisher: World Scientific
Release Date : 2001-10-12

Casimir Effect The Physical Manifestations Of Zero Point Energy written by Kimball A Milton and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-12 with Science categories.

In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction — which may be either attractive or repulsive — between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks.This monograph develops the theory of such forces, based primarily on physically transparent Green's function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics.

Fractional Dynamics

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Author : Joseph Klafter
language : en
Publisher: World Scientific
Release Date : 2012

Fractional Dynamics written by Joseph Klafter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject. In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

The Impact Of Applications On Mathematics

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Author : Masato Wakayama
language : en
Publisher: Springer
Release Date : 2014-07-18

The Impact Of Applications On Mathematics written by Masato Wakayama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Mathematics categories.

This book is a collection of papers presented at the Forum “The Impact of Applications on Mathematics” in October 2013. It describes an appropriate framework in which to highlight how real-world problems, over the centuries and today, have influenced and are influencing the development of mathematics and thereby, how mathematics is reshaped, in order to advance mathematics and its application. The contents of this book address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.

New Spaces In Physics

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Author : Mathieu Anel
language : en
Publisher: Cambridge University Press
Release Date : 2021-04

New Spaces In Physics written by Mathieu Anel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04 with Mathematics categories.

In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.