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Transcript

# Particle in one dimensional box - **There is no amount of energy during the collision of the wall.** * if x = 0 and x = a: outside the box, the potential energy is in infinity and inside the box, the potential energy is zero * i.e. V(x (outside)) = infinity * V = 0 (inside) ## 3D...

# Particle in one dimensional box - **There is no amount of energy during the collision of the wall.** * if x = 0 and x = a: outside the box, the potential energy is in infinity and inside the box, the potential energy is zero * i.e. V(x (outside)) = infinity * V = 0 (inside) ## 3D Schrodinger equation - d²ψ/dx² + d²ψ/dy² + d²ψ/dz² + 8π²m/h²(E-V)ψ = 0 - 1D = d²ψ/dx² + 8π²m/h²(E-V)ψ = 0 ## Condition - Outside the box, V = infinity - d²ψ/dx² + 8π²m/h²(E-infinity)ψ = 0 - d²ψ/dx²-∞ ψ = 0

Tags

quantum mechanics schrodinger equation particle physics
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