- #1

gfd43tg

Gold Member

- 953

- 49

## Homework Statement

## Homework Equations

## The Attempt at a Solution

a)

for ##0 \le x,y,z \le a##, the potential is zero. Therefore, the 3d schrödinger equation is

$$ - \frac {\hbar^{2}}{2m} \nabla^{2} \psi = E \psi $$

Is it okay to write 3 equations

$$ - \frac {\hbar^{2}}{2m} \frac {\partial^{2} \psi}{\partial x^{2}} = E \psi$$

$$ - \frac {\hbar^{2}}{2m} \frac {\partial^{2} \psi}{\partial y^{2}} = E \psi$$

$$ - \frac {\hbar^{2}}{2m} \frac {\partial^{2} \psi}{\partial z^{2}} = E \psi$$

How do I separate this into 3 second order ODE's?

Last edited: