The wave function for the ground state of hydrogen (n=1) is [psi(r)=frac{1}{sqrt{a_{0}^{3} pi}} e^{-frac{r}{a_{0}}}] Take the reduced

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The wave function for the ground state of hydrogen $n=1$ is

\[\psi(r)=\frac{1}{\sqrt{a_{0}^{3} \pi}} e^{-\frac{r}{a_{0}}}\]

Take the reduced mass to be $\approx m_{e}$.

(a) Show that this wave function is normalized.

(b) What is the expectation value $\langle rangle$ of $r$ ?

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Question Posted: Mar 16, 2024 09:52 AM

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The wave function for the ground state of hydrogen (n=1) is [psi(r)=frac{1}{sqrt{a_{0}^{3} pi}} e^{-frac{r}{a_{0}}}] Take the reduced

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An Introduction To Groups And Their Matrices For Science Students

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