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Graduate Feynman solution for the radial wave function of the hydrogen atom
But, in the (19.50) the denominator is $$ k(k+1)-l(l+1) $$ that, for ##k=n-1## becomes $$ (n-1)n-l(l+1) $$ and, since ##n=l+1## we have $$ (n-1)n-(n-1)n $$- emilionovati
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- Forum: Quantum Physics
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Graduate Feynman solution for the radial wave function of the hydrogen atom
Reading the classical Feynman lectures, I encounter the formula(19.53) that gives the radial component of the wave function: $$ F_{n,l}(\rho)=\frac{e^{-\alpha\rho}}{\rho}\sum_{k=l+1}^n a_k \rho^k $$ that, for ##n=l+1## becomes $$ F_{n,l}=\frac{e^{-\rho/n}}{\rho}a_n\rho^n $$ To find ##a_n## I...- emilionovati
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- Atom Feynman Function Hydrogen Hydrogen atom Radial Wave Wave function
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- Forum: Quantum Physics