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Canonical and conjugate momentum 
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#1
Apr1011, 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



#2
Apr1111, 07:32 AM

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Thanks
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.



#3
Apr1211, 12:46 AM

P: 7

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


#4
Apr1211, 01:03 AM

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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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