Er... couldn't you just use the expectation value of the momentum, i.e. <p>? I'm assuming that you know what p operator is in the real-space representation.Hi all,
If I have the wave function of a system, then the expectation of position is easily visualized as the centroid of the distribution.
Does anyone know how to visualize the expectation of velocity given just the postion-space wavefunction (real and imaginary parts)
I do know what it is!Er... couldn't you just use the expectation value of the momentum, i.e. <p>? I'm assuming that you know what p operator is in the real-space representation.
Zz.
What i'm going to tell you is in a contradiction with your question, cause you say, you only have realspace wavefunction. However, i find it very instrumental to imagine it in this way:Hi all,
If I have the wave function of a system, then the expectation of position is easily visualized as the centroid of the distribution.
Does anyone know how to visualize the expectation of velocity given just the postion-space wavefunction (real and imaginary parts)
yes,I agree this.What i'm going to tell you is in a contradiction with your question, cause you say, you only have realspace wavefunction. However, i find it very instrumental to imagine it in this way:
Take the realspace wavefunction. Do its fourier transform. You obtain a k-space wavefunction. In this representation, the momentum (~velocity) operator has exactly the same form as position operator in realspace representation. So the centre of this function is the mean momentum value.