# What is the -1 in a particle of this state, going through a stern-gerlach appratus?

+ 0 like - 0 dislike
4310 views

Hi, had a question to try out on a lecture slide  but I'm a bit confused as the lecturer didn't expand the explanation of the -1 in this example :

"

Imagine you have a particle in state

1/√2 (1 (-1 is under positive 1.) -1)

You send this particle through a Stern-Gerlach apparatus of which the magnetic field is oriented in z direction. "

If it were a normal 1 0, then I'd understand the answer to be 0.5 and 0.5 as, (1/sqrt(2) x 1)^2.

Does the calculating just like above also mean the answer for -1 would  in fact also  be 0.5?

Which means for the positive 1, Particle being in state |1>z is prob 0.5 and it being in  |0>z is also prob 0.5. Is -1 here state |0>z? if so  why?

Also how comes it's a superposition of spin-up and spin-down in both directions x?

Thank you.

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsOverfl$\varnothing$wThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.