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Unformatted text preview: taining only the nonzero terms. Note that since the function f ( , , ) does not depend on the canonical momenta, we can immediately write [ , f ( , , )] = X j p j f q j , (2) and since does not depend on p , this simpli f es to [ , f ( , , )] = p f + p f . (3) The partial derivatives of are easy to calculate p = cot I 1 sin , (4) and p = 1 I 3 + cot 2 I 1 . (5) Putting the pieces together, we obtain [ , f ( , , )] = cot I 1 sin f 1 I 3 + cot 2 I 1 f . (6) 1...
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This note was uploaded on 12/19/2010 for the course PHYSICS ph 409 taught by Professor Wilemski during the Fall '10 term at Missouri S&T.
- Fall '10