Homework Help: Schrodingers equation probability currents

1. Mar 10, 2006

golfingboy

Hi all,

I only have a real basic knowledge of quantum mechanics and I am finding a paper that I am taking quite challenging. If it is possible for someone to give me a hint or starting point on this folowing problem that would be great.

For problem - see attachment

Thanks.

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2. Mar 10, 2006

Physics Monkey

I would start by writing $$\rho = |\psi|^2 = \psi^* \psi$$ and differentiating with respect to time. You will get two pieces from the product rule. Try using Schrodinger's equation on each piece to write the time derivatives in terms of spatial derivatives. Hint: you may find it useful to take the complex conjugate of the Schrodinger equation.

3. Mar 11, 2006

Gokul43201

Staff Emeritus
Golfingboy,