Article
Article
- Physics
- Classical mechanics
- Least-action principle
Least-action principle
Article By:
Stehle, Philip Department of Physics, University of Pittsburgh, Pittsburgh, Pennsylvania.
Last reviewed:January 2020
DOI:https://doi.org/10.1036/1097-8542.375100
Like Hamilton's principle, the principle of least action is a variational statement that forms a basis from which the equations of motion of a classical dynamical system may be deduced. Consider a mechanical system described by coordinates q1, …, qf and their canonically conjugate momenta p1, …, pf. The action S associated with a segment of the trajectory of the system is defined by Eq. (1),
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