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Canonical and conjugate momentum

by igraviton
Tags: canonical, conjugate, momentum
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igraviton
#1
Apr10-11, 01:55 PM
P: 7
what is the difference between canonical and conjugate momentum.. ? what is its physical significant.. I was reading classical mechanics by Goldstein but could understood this terms
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Bill_K
#2
Apr11-11, 07:32 AM
Sci Advisor
Thanks
Bill_K's Avatar
P: 4,160
Exactly the same thing. You might use the term conjugate momentum when you're referring to the canonical momentum which is conjugate to a particular coordinate.
igraviton
#3
Apr12-11, 12:46 AM
P: 7
Hi Bill_k,

Thanks for reply but what that means ? "conjugate to a particular coordinate"... physical intrepretation

tom.stoer
#4
Apr12-11, 01:03 AM
Sci Advisor
P: 5,366
Canonical and conjugate momentum

The canonical conjugate momentum p is derived via a derivative of the action w.r.t. the time derivative of a generalized coordinate q. Then {q,p}=1. The physical interpretation of p depends on the interpretation of q.


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