An Algebraic Geometric Approach to Separat...

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Beschreibung

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)

Über den Autor

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.

Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Erscheinungsjahr:	2015
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 138 S. 7 s/w Illustr. 138 p. 7 illus.
ISBN-13:	9783658114077
ISBN-10:	365811407X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Schöbel, Konrad
Auflage:	1st edition 2015
Hersteller:	Springer Gabler Springer Fachmedien Wiesbaden GmbH
Verantwortliche Person für die EU:	Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	210 x 148 x 9 mm
Von/Mit:	Konrad Schöbel
Erscheinungsdatum:	27.10.2015
Gewicht:	0,207 kg