https://www.youtube.com/watch?v=WcNiA06WNvI 00:00 What is a partial second-order DEQ? 00:58 Classical Mechanics vs. Quantum Mechanics 04:27 Applications 05:14 Derivation of the time-independent Schrodinger equation (1d) 17:14 Squared magnitude, probability and normalization 25:26 Wave function in classically allowed and forbidden regions 35:34 Time-independent Schrodinger equation (3d) and Hamilton operator 38:18 Time-dependent Schrodinger equation (1d and 3d) 41:18 Separation of variables and stationary states More: https://en.fufaev.org/schrodinger-equation Books by Alexander Fufaev: 1) Equations of Physics: Solve EVERY Physics Problem https://en.fufaev.org/physics-equations-book 2) Alexander Fufaev and His Never Ending Story: https://en.fufaev.org/lifestory