# Difference Equation

1. Jun 18, 2008

### Domnu

2. Jun 18, 2008

### George Jones

Staff Emeritus
Rearranged slightly, the equation above it is

$$\frac{\partial^2 \phi_\epsilon \left( x \right)}{\partial x} = \frac{2m}{\hbar^2} \left( V_\epsilon \left( x \right) - E \right) \phi_\epsilon \left( x \right).$$

What happens when you integrate both sides of this equation from $x = x_1 - \epsilon$ to $x = x_1 + \epsilon$?