The Tulczyjew triple for classical fields

• Published in: arXiv.org
• Main Author: Grabowska, Katarzyna
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 21.11.2011
• Subjects: Calculus of variations; Euler-Lagrange equation; Field theory; Formalism; Magnetic fields; Mathematics - Differential Geometry; Mechanical systems; Quantum theory

The geometrical structure known as the Tulczyjew triple has proved to be very useful in describing mechanical systems, even those with singular Lagrangians or subject to constraints. Starting from basic concepts of variational calculus, we construct the Tulczyjew triple for first-order Field Theory....