phy-4600/lecture_notes/1-15/Applications

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2016-02-12 17:26:39 +00:00
Revisited Stern-Gerlach setup, now using three machines in series.
Introduced incompatible operators.
Reintroduced normalized and phased notation, using δ. (pic)
Combined y and x to view result of <+y|+x>
Talked about projections on other axes (pic x2)
Practice problem (pic) performed partially in class
what is the probability that the S_y will be measured to be +ħ2
Should be .93
To find, calculate <+y|Ψ> to find probability.
What is <S_y>? I.e. the expecation value for S_y?
<Ψ|S_y|Ψ> gives expectation value, or use <+y|Ψ> and <-y|Ψ> to find coefficients. (pic)