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Jan
31
comment Quantum bases conversion ($S_x$, $S_y$, $S_z$)
So... $(x, y, z) \to (y, z, x)$ giving... what exactly for theta and phi? Still pi/2 and 0?
Jan
31
comment Quantum bases conversion ($S_x$, $S_y$, $S_z$)
So for a spin-1/2 particle and for $|+x\rangle$ in terms of $|\pm y\rangle$ we would perform a permutation $(x,y,z) \to (y, z, x)$ and get $\theta = \pi/2$ and $\phi = 0$. So $|\pm x\rangle = 1/\sqrt{2} (|+y\rangle \pm |-y\rangle)$?
Jan
31
comment Quantum bases conversion ($S_x$, $S_y$, $S_z$)
This seems to help with converting to the $S_z$ basis. What I'm having trouble with (for instance) is converting from $S_z$ to $S_y$ or $S_y$ to $S_x$ or similar. I have $S_y$ and $S_x$ to $S_z$ calculated, and also $S_z$ to $S_x$ (I think!) But I'm having trouble getting the rest of them.