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Quantum physics

Wavefunctions, operators, and the etiquette of Dirac notation.

stemincluded on every plan

the shape of this subject

Quantum is unforgiving to students who skip the setup. Brainback insists you write the Hamiltonian before you diagonalize it.

Because quantum physics rewards the students who do the reps — and punishes the ones who outsource them.

quick facts
discipline
STEM
parent subject
Physics
typical weekly load
3-6 problem sets · 3-5 hours · 1-2 recall sessions
covered on plan
all plans (free forever)
what's in the box

Every quantum physics concept Brainback covers.

Add Quantum physics as a Learn subject and every problem in these areas routes to the Socratic tutor — attempt-first, hint-laddered, output-guarded.

T01Wavefunctions
T02Operators
T03Hilbert space
T04Perturbation theory
T05Spin
a real session

What one turn in quantum physics actually looks like.

Attempt → correction → guiding question. No answer. Ever. Verbatim from a beta session.

brainback tutor · learn mode · quantum physicsattempt-first
You (attempt)

⟨ψ|H|ψ⟩ = ⟨ψ|E|ψ⟩ = E since ψ is normalized…

Brainbackships the question

Is the operator Hermitian? What does that guarantee about the eigenvalues?

no answer · one guiding question · your next move

two libraries

How real attempts start. How Brainback nudges.

attempt starters (student side)
  • ⟨ψ|H|ψ⟩ = ⟨ψ|E|ψ⟩ = E since ψ is normalized…
guiding questions (brainback side)
  • Is the operator Hermitian? What does that guarantee about the eigenvalues?

the anti-pattern

What quantum physics looks like when the AI does the thinking.

Answer machines make quantum physics look like a solved problem. It isn't. The exam room reveals whose reasoning was built and whose was rented.

the failure mode this subject teaches is subtle — and expensive
common mistakes brainback catches
  • M1Applying a formula without checking whether the conditions actually hold.
  • M2Skipping the sanity check — 'does the sign / magnitude make sense?'
  • M3Memorizing steps instead of reasoning about why they're legal.
  • M4Reading past the setup and diving straight into computation.

the recall card

What a spaced-repetition card looks like in quantum physics.

Every wrong attempt and low-scored explain-back becomes a card. SM-2 schedules them — the tricky ones come back tomorrow, the solid ones drift out to next week, then next month.

recall card · due todayease 2.5 · reps 3

Recall the core concept in your own words. Then apply it to a fresh example under 2 minutes.

againhardgoodeasy

quantum physics — ready when you are

Start your first quantum physics session.

Attempt-first. Never the answer. Add it as a Learn subject in 30 seconds.