An Algebraic Geometric Approach to Separation of Variables

(Autor)

Buch | Softcover
XII, 138 Seiten
2015 | 1st ed. 2015
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-11407-7 (ISBN)
53,49 inkl. MwSt
lt;p>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 applications in clinical ultrasound diagnostics.

lt;p>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.

Erscheinungsdatum
Zusatzinfo XII, 138 p. 7 illus.
Verlagsort Wiesbaden
Sprache englisch
Maße 148 x 210 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Algebra • Algebraic curvature tensors • Deligne-Mumford moduli spaces • Geometry • Killing tensors • Mathematical Physics • mathematics and statistics • operads • Stäckel systems • Stasheff polytopes
ISBN-10 3-658-11407-X / 365811407X
ISBN-13 978-3-658-11407-7 / 9783658114077
Zustand Neuware
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