- #1

petera88

- 5

- 0

## Homework Statement

Find the probability current of a free particle.

## Homework Equations

[itex]\Psi[/itex](x,t) = Ae

^{i(kx-[itex]\frac{(hbar)k^{2}t}{2m}[/itex])}

J(x,t) = [itex]\frac{ihbar}{2m}(ψψ*' - ψ*ψ')[/itex]

## The Attempt at a Solution

I figured it was just take the derivative of the time dependent wave function and plug it in. This is my first experience with quantum mechanics so I find myself getting caught up on working with the wave function. My question it if it's real, then the psi and psi* are the same and it would equal 0. This isn't the answer of course. How do I work with the complex psi? What's the difference in the wave function for psi and psi*?