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gfd43tg
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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?
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