Central potentials in quantum mechanics

How can we study a particle moving in a central potential in quantum mechanics? 📚 A central potential is a potential that only depends on the distance from the origin, but does not depend on the orientation about the origin. Central potentials feature in a range of physical system, from the 3-dimensional isotropic harmonic oscillator, to the relative motion of the electron and proton in a hydrogen atom. In this video we introduce central potentials and show how they are related to orbital angular momentum. 🐦 Follow me on Twitter:   / profmscience   ⏮️ BACKGROUND Orbital angular momentum:    • Orbital angular momentum in quantum mechanics   Orbital angular momentum eigenvalues:    • Orbital angular momentum eigenvalues   Orbital angular momentum eigenfunctions:    • Orbital angular momentum eigenfunctions   Position representation:    • Position and momentum operators acting on ...   Constants of motion:    • Constants of motion in quantum mechanics   ⏭️ WHAT NEXT? Central potentials | Radial equation:    • The radial equation of central potentials   3D harmonic oscillator: [COMING SOON] Hydrogen atom: [COMING SOON] ~ Director and writer: BM Producer and designer: MC