1. Home
2. Videos
3. #1094

# VideoSchrodinger Equation and The Wave Function

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
Level 3
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.