- #1
Sara Kennedy
- 18
- 0
Spin up and spin down states in the x direction can be written as
|Upx> = 1/ √2 ( |Upz> + |Downz> )
and
|Downx> = 1/ √2 ( - |Upz> + |Downz> )
My textbook just stated the above facts without referencing why and I've been going through the spin chapter for a while now and I can't see it. Why is this true?
Is it something to do with permutation rotation and orthogonality? For example I could switch the x to y and the z to x and the expressions would be correct
|Upx> = 1/ √2 ( |Upz> + |Downz> )
and
|Downx> = 1/ √2 ( - |Upz> + |Downz> )
My textbook just stated the above facts without referencing why and I've been going through the spin chapter for a while now and I can't see it. Why is this true?
Is it something to do with permutation rotation and orthogonality? For example I could switch the x to y and the z to x and the expressions would be correct