An Algebraic Geometric Approach to Separation of Variables

Author:   Konrad Schöbel
Publisher:   Springer Fachmedien Wiesbaden
Edition:   1st ed. 2015
ISBN:  

9783658114077


Pages:   138
Publication Date:   27 October 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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An Algebraic Geometric Approach to Separation of Variables


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Overview

"Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum physics. The present work reveals a surprising algebraic geometric structure behind the famous list of separation coordinates, bringing together a great range of mathematics and mathematical physics, from the late 19th century theory of separation of variables to modern moduli space theory, Stasheff polytopes and operads. ""I am particularly impressed by his mastery of a variety of techniques and his ability to show clearly how they interact to produce his results.”   (Jim Stasheff)"

Full Product Details

Author:   Konrad Schöbel
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Springer Spektrum
Edition:   1st ed. 2015
Dimensions:   Width: 14.80cm , Height: 0.90cm , Length: 21.00cm
Weight:   2.055kg
ISBN:  

9783658114077


ISBN 10:   365811407
Pages:   138
Publication Date:   27 October 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

The Foundation: The Algebraic Integrability Conditions.- The Proof of Concept: A Complete Solution for the 3-Sphere.- The Generalisation: A Solution for Spheres of Arbitrary Dimension.- The Perspectives: Applications and Generalisations.

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Author Information

Konrad Schöbel studied physics and mathematics at Friedrich-Schiller University Jena (Germany) and Universidad de Granada (Spain) and obtained his PhD at the Université de Provence Aix-Marseille I (France). He now holds a postdoc position at Friedrich-Schiller University Jena and works as a research and development engineer for applications in clinical ultrasound diagnostics.

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