What happens when a detector does not find a particle in state |4>?

[giants86]

Homework Statement

A particle is in the state
1/2 |1> - 1/2 |2> + 1/2 |3> - 1/2 |4>

A detector is placed to measure state |4>. What the particle's wave function collapses into, if the detector does not find a particle

Homework Equations

<i|j> = delta (i, j)

The Attempt at a Solution

1/sqrt(3) ( |1> - |2> + |3>) - normalized perpendicular component

 

[BruceW]

looks good to me, man. nice work :)