Consider and electron in ground state in the Hydrogen atom. Suppose the Bohr orbit lies in the x-y plane. Assume that the position of the electron along the orbit is completely unknown.(adsbygoogle = window.adsbygoogle || []).push({});

a)Estimate the uncretainties in x,p_{x}, y, p_{y}, z and p_{z}.

b)Repeat for and excited state n>1. With the given information, can you say anything about the unceratinty in time? Energy?

I know how to solve for part a:

[tex]\Delta[/tex]x=2a_{0}, [tex]\Delta[/tex]p_{x}=h/(2a_{0}), [tex]\Delta[/tex]y=a_{0}, [tex]\Delta[/tex]p_{y}=h/(a_{0}), [tex]\Delta[/tex]z=0 since in x-y plane, [tex]\Delta[/tex]p_{x}=[tex]\infty[/tex]

but I'm a little stuck how to do part b.

any help is greatly appreciated, thanks!

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# Heisenberg Uncertainty

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