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see equation (2.21) the reasoning to get this (2.21) goes from page 9 to page 14

should be the inverse of the potential denoted by $ x(V) $ proportional to the half-derivative ?

i mean something $$ x(V)= C\frac{d^{1/2}}{dV^{1/2}}N(V) $$

instead of the author's claim $$ X(V)= A\frac{dN(V)}{dV} $$

here A and C are constants

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The reasoning to get to 2.21 starts from page 9. Which step in particular do you think is wrong? – Mew Mar 13 '13 at 10:39
i think it shoudl be the half derivative since the quantiztion conditions inlcude $ \sqrt{E_{n}-V(x)} $ – Jose Javier Garcia Mar 13 '13 at 11:03

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