Do you think Hamilton's principle from classical mechanics can be deduced from Feynman's path integral in quantum mechanics?(adsbygoogle = window.adsbygoogle || []).push({});

(We get across this question in another discussion:

https://www.physicsforums.com/showthread.php?t=609087&page=5)

Of course, there is a loose connection, since main contribution to the Feynman integral is from the classical path.

The problem is, the Feynman integral in QM gives merely Green's function of Schr. equation; this needs to be integrated with the initial condition to produce probability density [itex]|\psi|^2[/itex].

However, Hamilton's principle says something about trajectory q(t). How to get this from the Feynman integral?

Jano

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# Does Hamilton's principle follow from the Feynman formulation of QM?

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