plaese solve the problem

**math22** · February 15th 2009, 05:27 AM

Prove that :

$ H= \sum_i p_i {\dot q_i} - L $

**HallsofIvy** · February 18th 2009, 08:18 AM

That makes no sense at all. I could guess that p and q are "generalized coordinates" and that L is the Lagrangian (so this is a physics problem, not a math problem) but I have no idea what you want to solve for!

**math22** · February 22nd 2009, 01:12 AM

Thank you HallsofIvy
how this was derived?

**mr fantastic** · February 22nd 2009, 02:49 AM

Originally Posted by math22

Prove that :

$ H= \sum_i p_i {\dot q_i} - L $

You will find the derivation in any textbook devoted to Classical Mechanics. I suggest you spend some time in the appropriate library of the institute you study at.

**math22** · February 22nd 2009, 11:29 AM

thanks
I did not find this proof in the curriculum, but this question got a zero ...
I proved $H=T+V$
Where $L=T-V$ and $\sum_i p_i {\dot q_i}=2T$

... No problem thank you again

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