Quantum Mechanics
Courses
States, operators, and the eigenvalue problems that set energy levels.
Content for this course is still being written. For now, explore the skill map below — every node links to its full page.
Skill map
Each node is a skill; an arrow means "learn this first." Deep-dive links go to the full pages.
Particle in a Box…
The simplest bound state: quantized energies in a well.
content coming soon
deep dive ↓Infinite Square Well
Harmonic Oscillator…
The workhorse potential, solved by finite differences.
content coming soon
deep dive ↓Harmonic Oscillator (Finite Difference)
Variational Principle…
Bound the ground state by minimizing trial energy.
content coming soon
deep dive ↓Variational Principle
Slater Orbitals…
Exponential basis with the right hydrogenic cusp.
content coming soon
deep dive ↓Slater Orbitals
Two-Body Integrals…
Coulomb interaction and the Gaussian product theorem.
content coming soon
deep dive ↓The Gaussian Product Theorem