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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
145Hamiltonian Formulation of Mechanics
© 2010 Taylor & Francis Group, LLC
for any pair of functions F and G, where the q, p and the Q, P are related by a canonical transfor-
mation, such as Equation 5.21. The proof is straightforward, but it is tedious. We shall not pursue
it here.
It is easy to show that the fundamental Poisson brackets are canonical invariants. Suppose we
make the canonical transformation from a set of variables (q, p) to a new set of (Q, P). Now, any
canonical transformation preserves the form of Hamilton’s equations so that Equations 5.45 to 5.51
still hold for the new variables as do Equations 5.44a and 5.44b.
The Poisson-bracke ...
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Publisher Resources

ISBN: 9781466569980