Abstract
The most general starting point for the discussion of any mechanical system is the variational principle. It was first proposed as a particularly concise formulation of Newton’s laws of motion, and it turns out to be extremely useful for some simple manipulations such as the transition between different coordinate systems. (Feynman, 1948, 1965), with the inspiration of Dirac (1933, 1935), then found a complete analog for it in quantum mechanics. Indeed, the path integral provides the most direct link between the classical and the quantum regime (cf. Section 13.4).
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media New York
About this chapter
Cite this chapter
Gutzwiller, M.C. (1990). The Mechanics of Lagrange. In: Chaos in Classical and Quantum Mechanics. Interdisciplinary Applied Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0983-6_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0983-6_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6970-0
Online ISBN: 978-1-4612-0983-6
eBook Packages: Springer Book Archive