# Probability Density or Expectation Value?

1. Apr 16, 2010

### referframe

In a paper in Physical Review A, the author discusses a wave function for one particle, Ψ(r,t), where r is the position vector.

He writes "The probability distribution for one-particle detection at a point r is given by

|<r|Ψ >|2 ".

Is that correct? The above expression looks, to me, more like the expectation value for r.

Shouldn't the probability distribution be |<Ψ|Ψ >|2?