Generating function (physics)
- Generating function (physics)
Generating functions which arise in Hamiltonian mechanics are quite different from generating functions in mathematics. In the case of physics, generating functions act as a bridge between two sets of canonical variables when performing canonical transformation.
Details
There are four basic generating functions, summarized by the following table.
To confirm that this is the correct generating function, verify that it matches (2):::
ee also
*Hamilton-Jacobi equation
*Poisson bracket
References
*cite book | author=Goldstein, Herbert | title=Classical Mechanics | publisher=Addison Wesley | year=2002 | id=ISBN 978-0-201-65702-9
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