- #1

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## Homework Statement

[itex] |\psi >=a|z>+b|-z> [/itex]

find [itex] <S_x > [/itex]

## The Attempt at a Solution

So I just need to find

[itex] <S_x>=({|<x|\psi >|}^2-{|<-x|\psi>|}^2)\frac{\hbar}{2} [/itex]

right

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- Thread starter cragar
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- #1

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[itex] |\psi >=a|z>+b|-z> [/itex]

find [itex] <S_x > [/itex]

So I just need to find

[itex] <S_x>=({|<x|\psi >|}^2-{|<-x|\psi>|}^2)\frac{\hbar}{2} [/itex]

right

- #2

TSny

Homework Helper

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## Homework Statement

[itex] |\psi >=a|z>+b|-z> [/itex]

find [itex] <S_x > [/itex]

## The Attempt at a Solution

So I just need to find

[itex] <S_x>=({|<x|\psi >|}^2-{|<-x|\psi>|}^2)\frac{\hbar}{2} [/itex]

right

Yes, that will get you the answer. If you know the matrix representations of [itex] S_x [/itex], [itex] |z> [/itex], and [itex] |-z> [/itex], then you can also just calculate directly [itex] <S_x>=<\psi |S_x|\psi > [/itex].

- #3

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- #4

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If I know what |+x> is. Can I construct |-x> by creating coefficients so that the probability of measuring spin up in the +x and -x equals 1.

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