beginner
322 lessons across two tracks.
Physics & Mechanics
1. Math Foundations: Complex Numbers
2. Math Foundations: Linear Algebra
3. Math Foundations: Calculus, Probability & Statistics
4. Waves, Light & Classical Background
5. The Birth of Quantum Theory
6. Wave–Particle Duality & Matter Waves
7. The Wavefunction & Born Rule
8. The Schrödinger Equation (Intro)
9. Observables, Operators & Measurement
10. The Uncertainty Principle
11. Particle in a Box
- The Infinite Square Well
- Boundary Conditions in the Well
- Quantized Energy Levels
- The Energy Eigenfunctions
- Normalizing the Eigenfunctions
- Ground State and Zero-Point Energy
- Nodes and Quantum Numbers
- Probability Distributions in the Well
- Superpositions in the Box
- Expectation Values in the Box
- Checkpoint: Solve the Box
12. Quantum Tunneling & Barriers
13. The Quantum Harmonic Oscillator (Intro)
14. Spin & the Stern–Gerlach Experiment
15. Quantum Numbers & the Hydrogen Atom (Intro)
- Central Potentials
- Separation in Spherical Coordinates
- The Principal Quantum Number n
- Orbital Angular Momentum ℓ
- The Magnetic Quantum Number mₗ
- Hydrogen Energy Levels
- Degeneracy of Levels
- Atomic Orbitals s, p, d
- Spectral Series of Hydrogen
- Spin and the Fourth Quantum Number
- The Pauli Exclusion Principle (Preview)
- Filling Atomic Shells
- Why Quantum Numbers Matter
- Checkpoint: Hydrogen and Quantum Numbers
Quantum Programming
1. Bits, Logic & Classical Computation
2. From Bits to Qubits
3. The Qubit State Vector & Dirac Notation
4. Single-Qubit Gates I: X, Y, Z
5. Single-Qubit Gates II: H, S, T & Phase
6. The Bloch Sphere
7. Measurement & Probability in Code
8. Rotation Gates & Universal Single-Qubit Ops
9. Two Qubits & Tensor Products
10. Entanglement & Bell States
11. Controlled Gates: CNOT, CZ, SWAP
12. Building & Reading Quantum Circuits
13. Quantum Teleportation & Superdense Coding
14. First Quantum Algorithms: Deutsch & Deutsch–Jozsa
15. Mini-Projects: Coin Flips, RNG & Bell Tests
- Project: A Quantum Coin Flip
- Project: A Biased Coin
- Project: A Quantum Random Number
- Project: Two-Qubit Correlations
- Project: A Simple Bell Test
- Project: Guess the Hidden Gate
- Project: State Tomography (Intro)
- Project: Build a Mini Circuit Library
- Reflection: What You Can Now Build
- Capstone: Design Your Own Demo