- #1
DaTario
- 1,039
- 35
Hi All,
I have tried to solve Schroedinger´s equation for the case where ##V(x) = 0## for a particle with ##m=0.5## and ##v_0 = 2##. This yields ##E = 1## and ##p=1##.
From the fundamental relations of De Broglie and Planck, ##k = 1/ \hbar ## and ##\omega = 1/\hbar ##.
Thus, I have confirmed that the function ##\Psi(x,t) = e^{i(x - t)/\hbar} ## is a solution of the Schroedinger's equation. Surprisingly the phase velocity of this wave function is not ##2\, m/s## but ##1\, m/s##.
What have gone wrong ?
Best wishes,
DaTario
I have tried to solve Schroedinger´s equation for the case where ##V(x) = 0## for a particle with ##m=0.5## and ##v_0 = 2##. This yields ##E = 1## and ##p=1##.
From the fundamental relations of De Broglie and Planck, ##k = 1/ \hbar ## and ##\omega = 1/\hbar ##.
Thus, I have confirmed that the function ##\Psi(x,t) = e^{i(x - t)/\hbar} ## is a solution of the Schroedinger's equation. Surprisingly the phase velocity of this wave function is not ##2\, m/s## but ##1\, m/s##.
What have gone wrong ?
Best wishes,
DaTario