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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 finity and inside the box the potential energy is zero - V= ∞ (outside) - V=0 (inside) ### 3D Schrodinger equation: - $\frac{d^2ψ}{dx^2...

## 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 finity and inside the box the potential energy is zero - V= ∞ (outside) - V=0 (inside) ### 3D Schrodinger equation: - $\frac{d^2ψ}{dx^2} + \frac{d^2ψ}{dy^2} + \frac{d^2ψ}{dz^2} + \frac{8π^2m}{h^2}$ (E-V)ψ = 0 - $\frac{d^2ψ}{dx^2} + \frac{8π^2m}{h^2}$ (E-V)ψ = 0 #### Condition: outside the box, V=∞ - $\frac{d^2ψ}{dx^2} + \frac{8π^2m}{h^2}$ (E-x)ψ= 0 - $\frac{d^2ψ}{dx^2}$ - ∞ψ = 0