An Algebraic Geometric Approach to Separation of Variables by Konrad SchöbelAn Algebraic Geometric Approach to Separation of Variables by Konrad Schöbel

An Algebraic Geometric Approach to Separation of Variables

byKonrad Schöbel

Paperback | October 27, 2015

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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)

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 applica...
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Title:An Algebraic Geometric Approach to Separation of VariablesFormat:PaperbackDimensions:138 pages, 21 × 14.8 × 0.02 inPublished:October 27, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:365811407X

ISBN - 13:9783658114077

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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.