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Change of basisby Norman
Tags: basis 
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#1
Mar404, 09:23 PM

P: 922

Hello all,
I need some help... If I know the form of a wavefunction in the [itex] S_z [/itex] basis, say it is spin up, how do I convert that to a wavefunction expressed in the [itex] S_x [/itex] basis? Is there a very simple way to do this? Thanks 


#2
Mar504, 09:22 AM

P: 922

Anyone???
Do I just rotate the spinor using a rotation operator? Help? 


#3
Mar504, 10:56 AM

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P: 5,532

You've basically got it. To convert from S_{z} to S_{x}, you rotate the state vector p/2 rad about the yaxis.



#4
Sep2711, 12:08 AM

P: 1,065

Change of basis
I wonder, shouldn't the new state vector be a superposition of +x and x? If I apply the rotation operator to my z state I get a pure state. Where has my thinking gone wrong? 


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