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Course Fundamentals of Quantum Mechanics II

Theoretical tools and models of quantum mechanics
Angular momentum ladder operators: Ascending and descending operator
Level 3 (for advanced students)
Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.
  1. 1
    Lesson

    Schrodinger Equation and The Wave Function

    In this lesson you will learn about the time-dependent and independent Schrödinger equation (1d, 3d), how it is derived and what you can do with it.

    Video

    Schrodinger Equation explained extensively in 50 minutes!

    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
    Related formulas
Herleitungen & Experimente