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An Algebraic Geometric Approach to Separation of Variables

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  • © 2015

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Table of contents (5 chapters)

Keywords

About this book

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)

Authors and Affiliations

  • Friedrich-Schiller-Universität, Jena, Germany

    Konrad Schöbel

About the author

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.

Bibliographic Information

  • Book Title: An Algebraic Geometric Approach to Separation of Variables

  • Authors: Konrad Schöbel

  • DOI: https://doi.org/10.1007/978-3-658-11408-4

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Fachmedien Wiesbaden GmbH 2015

  • Softcover ISBN: 978-3-658-11407-7Published: 27 October 2015

  • eBook ISBN: 978-3-658-11408-4Published: 15 October 2015

  • Edition Number: 1

  • Number of Pages: XII, 138

  • Number of Illustrations: 7 b/w illustrations

  • Topics: Mathematical Physics, Geometry, Algebra

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