An Algebraic Geometric Approach to Separation of Variables

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 al...

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Main Author: Schöbel, Konrad. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2015.
Edition:1st ed. 2015.
Subjects:
Online Access:https://doi.org/10.1007/978-3-658-11408-4
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.