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Topic: Hydrogen Atom - eigenstate and operators  (Read 5023 times)

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gruni1

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Hydrogen Atom - eigenstate and operators
« on: May 26, 2006, 05:46:59 AM »
Hi,

I've a question for my exercise in PC because I don't understand what I have to do for this question.
A hydrogen atom can be found in a s-p hybrid orbital state like:
l?> = 1/21/2  {   l?200> l+>   +   l?210> l->   }.
I don't understand and I don't know what I have to do when they ask :"Check wether this state is an eigenstate for the next operators: Ê, L2, Sz, S2 (L2, Sz, S2 are operators).

Can somebody help me.

Thank you.

Dan

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Re: Hydrogen Atom - eigenstate and operators
« Reply #1 on: May 26, 2006, 09:20:41 AM »
I don't understand what all your > and | are for

basically what you do to see if something is an eigenfunction of an operater is: you insert the function into the operator and see if you get the same function only with a constant factor maybe.

e.g. the energy is given by the Hamilton operator. Since it is linear it will work.
Math and alcohol don't mix, so... please, don't drink and derive!

gruni1

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Re: Hydrogen Atom - eigenstate and operators
« Reply #2 on: May 26, 2006, 10:28:35 AM »
thank you for your reply
l > are coming from the bracket ecriture
Dan

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