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I have the following equation for potential energy. Actually it's for the effective potential energy.
[tex]
'V'(r) = - \int F(r) dr - \int \frac{L^{2}}{m r^{3}}dr[/tex]
[tex]
'V'(r) = V(r) + \frac{L^{2}}{2 m r^{2}}
[/tex]
Where does the second term on the right come from? What does it have to do with potential energy?
[tex]
'V'(r) = - \int F(r) dr - \int \frac{L^{2}}{m r^{3}}dr[/tex]
[tex]
'V'(r) = V(r) + \frac{L^{2}}{2 m r^{2}}
[/tex]
Where does the second term on the right come from? What does it have to do with potential energy?