Schrodinger Equation explained extensively in 50 minutes!

Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
Content of the video
  1. [00:10] What is a partial second-order DEQ?
  2. [01:08] Classical Mechanics vs. Quantum Mechanics
  3. [04:38] Applications
  4. [05:24] Derivation of the time-independent Schrödinger equation (1d)
  5. [17:24] Squared magnitude, probability and normalization
  6. [25:37] Wave function in classically allowed and forbidden regions
  7. [35:44] Time-independent Schrödinger equation (3d) and Hamilton operator
  8. [38:29] Time-dependent Schrödinger equation (1d and 3d)
  9. [41:29] Separation of variables and stationary states