Mathematical Physics

    

Mathematical Survey of the Action Principle

Authors: Hans Detlef Hüttenbach

Defining the principle of extremal action in concise mathematical terms, it is shown that this principle does not hold what it physically promises. Instead, it is shown that Lagrange functions need to be locally integrable (in an open region of space), in order that the Lagrange equations strictly apply. The principle of extremal action therefore reduces to the condition of local integrability of the Lagrange function to a (locally defined) Hamilton-Jacobi function.

Comments: 6 Pages. correction of misspellings; included: consequenes of conservation of energy and momentum.

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Submission history

[v1] 2021-02-01 14:16:33
[v2] 2021-02-06 18:15:00
[v3] 2021-02-12 14:14:53

Unique-IP document downloads: 316 times

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