Answer to Question #153624 in Classical Mechanics for Afraid

Question #153624

What is generating function.


1
Expert's answer
2021-01-07T11:00:22-0500

Solution

Generating Function-

In classical Mechanics, The Hamiltonian formulation of classical mechanics, a generating function is a function of canonical variables whose (partial) derivatives with respect to these variables lead to the equations of motion of the system.

For example we can write

The Hamiltonian H

 of a system is itself a generating function, in this sense, and gives what we call the Hamilton's equations of motion.

These Generating Function are four as below

"F_1,F_2,F_3,F_4."


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