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Change of basis

by Norman
Tags: basis
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Norman
#1
Mar4-04, 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
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Norman
#2
Mar5-04, 09:22 AM
P: 922
Anyone???
Do I just rotate the spinor using a rotation operator?
Help?
Tom Mattson
#3
Mar5-04, 10:56 AM
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You've basically got it. To convert from Sz to Sx, you rotate the state vector p/2 rad about the y-axis.

ModusPwnd
#4
Sep27-11, 12:08 AM
P: 1,105
Change of basis

Quote Quote by Tom Mattson View Post
You've basically got it. To convert from Sz to Sx, you rotate the state vector p/2 rad about the y-axis.
Hi, I know this is old. Im sorry, but I have some confusion about this.

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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