- #1
Thomas Rigby
- 22
- 3
- TL;DR Summary
- How do I calculate the probability current density for a solution of the time-independent Schrodinger equation?
I have written a finite difference program to solve 1D time-independent Schrodinger equation. It seems to work correctly for harmonic oscillator, particle in a box, etc. But I can't figure out how to calculate the probability current density. It should be constant, but what is it? The program returns a real function, so I can't use the usual formula for current density. And I don't know how to get the velocity so I can't use density times velocity.
I will post this question as is. If it needs more clarification, then I will add it.
I will post this question as is. If it needs more clarification, then I will add it.