# Probability Amplitude

1. Aug 5, 2015

### teme92

1. The problem statement, all variables and given/known data
Show, using the definition, that $\frac{d}{dt}\langle \emptyset(t)|\psi(t)\rangle=\langle \frac{d}{dt}\emptyset(t)|\psi(t)\rangle+\langle \emptyset(t)|\frac{d}{dt}\psi(t)\rangle$

2. Relevant equations

3. The attempt at a solution
I'm looking at this and I have no idea where to begin. Could someone please help me with how I'm supposed to start this. Any help would be much appreciated.

2. Aug 5, 2015

### Dr. Courtney

The (unstated) definition i question likely provides one of the relevant equations. Beyond that, it looks like a bit of calculus.

3. Aug 6, 2015

### teme92

It doesn't state what the definition is but based on the $\psi(t)$ I'd guess its somthing to do with the wave function. I'm thinking that the question isn't as complicated as I thought and its just the product rule.

4. Aug 6, 2015

### George Jones

Staff Emeritus
What is the definition of $\left< \phi \left(x,t\right) | \psi \left(x,t\right) \right>$?

5. Aug 6, 2015

### teme92

Hi George I found a solution to the problem, thanks for the help.