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Average Potential Energy of a hydrogen 1s electron

by condiboy
Tags: average, electron, energy, hydrogen, potential
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condiboy
#1
May17-10, 11:48 PM
P: 2
I can't find any reference to this in my notes.

The problem is to calculate the average potential energy of a hydrogen 1s electron. The operator is V=e2 /4piE0r
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Dickfore
#2
May18-10, 12:05 AM
P: 3,014
you forgot a minus sign. Also, what's the commutator of H and V?
condiboy
#3
May18-10, 12:32 AM
P: 2
good call on the minus sign. There's no mention of the commutator on the worksheet, is that necessary to know before doing the problem? I thought that the Hamiltonian operator for a hydrogen atom was -Hbar^2/2u-e^2/r. I'm really confused

alxm
#4
May18-10, 05:38 AM
Sci Advisor
P: 1,866
Average Potential Energy of a hydrogen 1s electron

I'll give a hint: How do you calculate the expectation value of an operator? I suspect that's what they want you to do.
Dickfore
#5
May18-10, 06:32 AM
P: 3,014
alxm is right. I wanted you to use a method called the virial theorem in QM, but it might be too complicated.


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