MIT 8.04: Quantum Physics I
8.04 is MIT's first quantum mechanics course: wave-particle duality, the Schrödinger equation, one-dimensional potentials, tunneling, and the hydrogen atom. Allan Adams' OCW lectures for 8.04 are among the most-watched physics courses on the internet, drawing self-learners far beyond MIT.
Fennie is independent and not affiliated with MIT. This is an unofficial study guide.
What makes it hard
Quantum mechanics removes the classical intuition students have leaned on for two years and replaces it with formalism that must be trusted before it's understood. The mathematics (operators, eigenfunctions, boundary-condition matching) is demanding but learnable; the deeper struggle is accepting that the wavefunction calculus is the physics, not a stand-in for a more familiar picture.
What you'll cover
- • Wave-particle duality and the experimental basis
- • Wavefunctions and probability
- • The Schrödinger equation
- • One-dimensional potentials and tunneling
- • The harmonic oscillator
- • Angular momentum and the hydrogen atom
The 8.04 study guide
How to study for MIT 8.04, step by step.
- 1
Let the formalism lead and intuition follow
Demanding a classical picture for every result is the classic 8.04 trap. Compute first, trust the boundary conditions and eigenvalue machinery, and let the new intuition assemble from worked examples.
- 2
Master the canonical potentials cold
Infinite well, finite well, barrier, harmonic oscillator: solve each from scratch several times. Every exam problem is one of these wearing modifications, and recognizing the base case is half the solution.
- 3
Keep the math chassis tuned
Differential equations, Fourier methods, and linear algebra do constant work here. When a physics step feels impossible, check whether it's actually an 18.03 step that's gone rusty.
- 4
Re-derive the lecture milestones by hand
Quantization in the well, tunneling amplitudes, oscillator ladder operators: reproducing the derivations with the notes closed is the most honest exam prep, because psets are variations on exactly these.
Today
Today's 8.04 plan
What a Fennie Daily Plan looks like for 8.04. Yours is built from your own syllabus and adapts every day to your deadlines and progress.
First plan free, no card required. Fennie is independent and unaffiliated with your school.
FAQ
Is 8.04 hard?
It's a conceptual reorientation more than a computational spike; the math resembles 18.03, but classical intuition stops helping. Students who work the canonical potentials repeatedly find exams predictable.
What should I know before 8.04?
8.03's wave formalism and 18.03's differential equations are the load-bearing prerequisites. Comfort with complex exponentials and Fourier ideas matters daily.
Are the Allan Adams 8.04 lectures good for self-study?
Yes, they're a classic for a reason: clear, rigorous, and genuinely enjoyable. Pair them with the psets and exams on OCW; watching alone builds familiarity, not skill.
More MIT courses
8.01: Classical Mechanics
8.01 is MIT's calculus-based classical mechanics GIR, covering kinematics, Newton's laws, energy, momentum, rotation, and oscillations, required of every first-year student. Its OCW materials make it a benchmark mechanics course for self-learners and ambitious high schoolers worldwide.
8.02: Electricity and Magnetism
8.02 is MIT's electricity and magnetism GIR, covering electrostatics, circuits, magnetism, induction, and Maxwell's equations using multivariable calculus. It's the second required physics course for all MIT students and a heavily used OCW resource.
8.03: Vibrations and Waves
8.03 is the third course in MIT's physics sequence: oscillators, coupled systems, waves on strings, sound, and electromagnetic waves through interference and diffraction. Its OCW versions, with full lecture videos and famously demonstration-rich teaching, make it a staple for physics self-learners after 8.01 and 8.02.