An Overview of the Hamilton–Jacobi Theory: The Classical and Geometrical Approaches and Some Extensions and Applications

This work is devoted to review the modern geometric description of the Lagrangian and Hamiltonian formalisms of the Hamilton–Jacobi theory. The relation with the “classical” Hamiltonian approach using canonical transformations is also analyzed. Furthermore, a more general framework for the theory is...

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Bibliographic Details
Main Author: Narciso Román-Roy
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/1/85