Published June 13, 2014
| Version v1
Journal article
Geometric Hamilton–Jacobi theory for higher-order autonomous systems
- 1. Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), C/ Nicolás Cabrera 15, Campus Cantoblanco UAM, E-28049 Madrid (Spain)
- 2. Departamento de Matemática Aplicada IV, Universitat Politècnica de Catalunya-Barcelona Tech, Edificio C-3, Campus Norte UPC, C/ Jordi Girona 1, E-08034 Barcelona (Spain)
Description
The geometric framework for the Hamilton–Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton–Jacobi equations in these formalisms and apply our results to analyze some particular physical examples. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/47/23/235203Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 47
- Journal Issue
- 23
- Journal Page Range
- [24 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46036393
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GEOMETRY; HAMILTONIANS; HAMILTON-JACOBI EQUATIONS; LAGRANGIAN FUNCTION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS