An Algebraic Geometric Approach to Separation of Variables

• Κύριος συγγραφέας: Schöbel, Konrad (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2015.
• Έκδοση: 1st ed. 2015.
• Θέματα: Mathematics.; Algebra.; Geometry.; Mathematical physics.; Mathematical Physics.

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...

Πίνακας περιεχομένων:

• 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.