Quantum mechanics

Lesson Level 3

Schrödinger Equation and The Wave Function

Betragsquadrat einer Wellenfunktion (Beispiel)

In this lesson you will learn about the Schrödinger equation, where it comes from and what you can do with it.

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Video Level 3

Schrodinger Equation and The Wave Function

Schrodinger Equation

In this quantum mechanics lecture you will learn the Schrödinger equation (1d and 3d, time-independent and time-dependent) within 45 minutes.

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