Course Fundamentals of Quantum Mechanics II
Theoretical tools and models of quantum mechanics
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
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Related formulas
Formula $$ W \, \mathit{\Psi} ~=~ - \frac{\hbar^2}{2\class{brown}{m}} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$Time independent Schrödinger equation (3d)
Formula $$ i \, \hbar \, \frac{\partial \mathit{\Psi}}{\partial t} ~=~ - \frac{\hbar^2}{2\class{brown}{m}} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$Time-dependent Schrödinger equation (3d)
Related Illustrations
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Related formulas
Formula $$ [ L_{\text x}, L_{\text y} ] ~=~ \mathrm{i} \, \hbar \, L_{\text z} $$Angular momentum commutator (Lx and Ly)
Formula $$ [ L^2, \, L_j ] ~=~ 0 $$Commutator Between Angular Momentum Squared and Angular Momentum Component
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