Difference between revisions of "File:Ex. 4.pdf"
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(Created page with "Just a quick question: How do you get the following \( -\frac{\partial H}{\partial r} = \frac{p_\phi^2}{mr^3} - \frac{\partial U(r)}{\partial r} \), if \( H = \frac{p_r^2}{2m...") |
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How do you get the following \( -\frac{\partial H}{\partial r} = \frac{p_\phi^2}{mr^3} - \frac{\partial U(r)}{\partial r} \), if \( H = \frac{p_r^2}{2m} + \frac{p_\phi^2}{2mr^2} + U(r) \)? Doesn't \( p_r \) depend on \( r \) as well? - A. | How do you get the following \( -\frac{\partial H}{\partial r} = \frac{p_\phi^2}{mr^3} - \frac{\partial U(r)}{\partial r} \), if \( H = \frac{p_r^2}{2m} + \frac{p_\phi^2}{2mr^2} + U(r) \)? Doesn't \( p_r \) depend on \( r \) as well? - A. | ||
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| + | Not explicitly it only depends on r dot. or am I missing something? -Carl | ||
Revision as of 17:38, 16 January 2015
Just a quick question:
How do you get the following \( -\frac{\partial H}{\partial r} = \frac{p_\phi^2}{mr^3} - \frac{\partial U(r)}{\partial r} \), if \( H = \frac{p_r^2}{2m} + \frac{p_\phi^2}{2mr^2} + U(r) \)? Doesn't \( p_r \) depend on \( r \) as well? - A.
Not explicitly it only depends on r dot. or am I missing something? -Carl
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| current | 20:58, 19 June 2015 | (31 KB) | Paddy (Talk | contribs) | Solution to Problem 4 by Saerens Grégoire |
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