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## Particle in one dimensional box - There is no amount of energy during the collision of wall. - If $x = 0$ and $x=a$, outside the box the potential energy is in infinity, and inside the box the potential energy is 0, i.e. - $V = \infty$ (outside) - $V = 0$ (inside) ### 3D Schrodinge...

## Particle in one dimensional box - There is no amount of energy during the collision of wall. - If $x = 0$ and $x=a$, outside the box the potential energy is in infinity, and inside the box the potential energy is 0, i.e. - $V = \infty$ (outside) - $V = 0$ (inside) ### 3D Schrodinger equation - $\frac{d^2\psi}{dx^2} + \frac{d^2\psi}{dy^2} + \frac{d^2\psi}{dz^2} + \frac{8\pi^2m}{h^2}(E-V)\psi = 0$ - $ID = \frac{d^2\psi}{dx^2}+\frac{8\pi^2m}{h^2}(E-V)\psi = 0$ ### Condition: - Outside the box $V = \infty$ - $\frac{d^2\psi}{dx^2} + \frac{8\pi^2m}{h^2}(E- \infty)\psi = 0$ - $\Rightarrow \frac{d^2\psi}{dx^2} - \infty\psi = 0$