Action Principles to Quantum Mechanics
Variational mechanics, Hamiltonian phase space, superposition, and operators
Bridges Stanford's Theoretical Minimum with MIT 8.04 so Hamiltonian classical mechanics flows naturally into Hilbert spaces, Hermitian observables, and the Schrödinger equation.
Start Step 16 steps · 9h total
Curriculum sequence
6
Classical Mechanics Lecture 3: Principle of Stationary Action & Euler-Lagrange Equations
Derives Euler-Lagrange dynamics from stationary action — the conceptual precursor to path integrals.
Classical Mechanics Lecture 6: Legendre Transforms, Hamilton's Equations & Liouville's Theorem
Transforms Lagrangians into Hamiltonian phase space and Liouville volume conservation.
MIT 8.04 Lecture 1: Introduction to Quantum Superposition
Introduces quantum superposition through concrete two-state thought experiments.
MIT 8.04 Lecture 2: Experimental Facts of Life — Photoelectric Effect, Double Slit & Bell
Grounds wave-particle duality and Bell nonlocality in decisive experiments.
Step 5·Stanford University·Leonard Susskind· 1:35:35
Quantum Entanglements, Lecture 1: States, Logic & Complex Vector Spaces
Constructs complex state vectors, bras/kets, and measurement projections.
MIT 8.04 Lecture 5: Linear Operators, Eigenfunctions & The Schrödinger Equation
Unifies linear operators and eigenfunctions into unitary time evolution.