Hamilton's principle | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-27

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Hamilton%27s_principle


00:00:55 1 Mathematical formulation
00:01:15 1.1 Euler–Lagrange equations derived from the action integral
00:03:30 1.2 Canonical momenta and constants of motion
00:04:12 1.3 Example: Free particle in polar coordinates
00:10:57 2 Applied to deformable bodies
00:13:14 3 Comparison with Maupertuis' principle
00:19:24 4 Action principle for fields
00:21:48 4.1 Classical field theory
00:24:39 4.2 Quantum mechanics and quantum field theory
00:24:50 5 See also
00:25:29 6 References
00:26:42 See also



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SUMMARY
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In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action (see that article for historical formulations). It states that the dynamics of a physical system is determined by a variational problem for a functional based on a single function, the Lagrangian, which contains all physical information concerning the system and the forces acting on it. The variational problem is equivalent to and allows for the derivation of the differential equations of motion of the physical system.  Although formulated originally for classical mechanics, Hamilton's principle also applies to classical fields such as the electromagnetic and gravitational fields, and plays an important role in quantum mechanics, quantum field theory and criticality theories.