Quantum Mechanics: Elementary Concepts
This online course is ideal for beginners in quantum mechanics. Designed with modest mathematical prerequisites, it offers a clear and hands-on introduction to the subject. Through a combination of video lectures, visualizations, and exercises, you will develop a solid understanding of the fundamental principles of quantum mechanics from the ground up.
If you have a basic understanding of complex numbers and calculus, you should be well-prepared for this course.
When you enroll in the course, we’ll be by your side. Expect support every step of the way with email responses, tips, and expert guidance.
Curriculum
Available in
days
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Available in
days
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after you enroll
- Video lesson 1: Schrödinger's equation (5:25)
- Video lesson 2: Example system: Harmonic oscillator - part 1 (4:31)
- Exercise 1: Coherent state of a harmonic oscillator
- Video lesson 3: Example system: Harmonic oscillator - part 2 (1:52)
- Video lesson 4: Born's rule (2:23)
- Video lesson 5: Normalization condition (3:01)
- Exercise 2: An example of using the Born rule
- Video lesson 6: Position expectation value (3:03)
- Exercise 3: Position expectation value in symmetric distributions
- Exercise 4: Position expectation value: An example
- Video lesson 7: Momentum expectation value (2:47)
- Exercise 5: Momentum expectation value
- Exercise 6: Mean momentum of a particle with a real wave function
- Video lesson 8: Observables and operators (4:24)
- Video lesson 9: Example: Zero-point energy of a harmonic oscillator (5:51)
- Exercise 7: Expectation values of x, p, V, and T for a coherent state
- Video lesson 10: Uncertainty (5:35)
- Exercise 8: An example of Heisenberg’s uncertainty principle
- Video lesson 11: Heisenberg's uncertainty principle (3:55)
- Exercise 9: Derivation of Heisenberg’s uncertainty principle
- Video lesson 12: Zero-point energy revisited (3:09)
- Video lesson 13: Quantum superposition (6:36)
- Exercise 10: Normalizing a cat state
- Video lesson 14: Stationary states - part 1 (5:15)
- Video lesson 15: Stationary states - part 2 (5:29)
- Video lesson 16: Particle in a box (6:52)
- Exercise 11: Normalization constant for the stationary states of a particle in a box
- Exercise 12: Classical limit in the particle-in-a-box system
- Video lesson 17: Origin of motion (5:13)
- Exercise 13: Temporal oscillations in a superposition of two stationary states
- Exercise 14: Determining expansion coefficients from the initial wave function
- Video lesson 18: Expansion coefficients, energy measurement, wave function collapse (5:17)
- Exercise 15: An alternative form of the normalization condition
- Exercise 16: Two alternative expressions for the expectation value of energy
- Exercise 17: Energy measurement for a particle in a box
- Video lesson 19: Free particle (5:55)
- Exercise 18: Free-particle Gaussian wave packet
- Video lesson 20: Step potential (7:27)
- Exercise 19: Solving the Schrödinger equation for the step potential
- Exercise 20: Step potential: Probabilities of reflection and transmission
- Video lesson 21: Quantum tunneling (5:02)
- Exercise 21: Tunneling through a rectangular potential barrier
Available in
days
days
after you enroll