Phys130b Physics Review

Fallback / de-escalation

• If a possible ERROR depends on convention choice, mark WARNING and cite Tong or standard QM text.
• If the notebook is corrupted, stop—require notebook-writer + troubleshooting-ipynb first, then re-run science review.

Checklist (summary)

1. Equations: dimensions, signs, factors of 2, π, ℏ; operator order; matched bras/kets.
2. Notation: \mathrm{i}, \mathrm{e}, \mathrm{d}; \boldsymbol not \vec; Pauli \hat{\sigma}^x; eigenstate table.
3. Concepts: definitions, limits, approximations; no conflation (e.g. entanglement vs correlation).
4. Homework: “show that” true; setups physical; data sufficient; difficulty OK.
5. Discussion: debatable but resolvable with physics; tied to lecture.
6. Projects: real topics; feasible with AI + ~2 weeks; deliverables clear.

Textbook: David Tong, Quantum Mechanics (CUP). Standard checks: commutators, spectral decompositions, inequalities (Heisenberg, Bell), symmetries.

Output format

## Science Review: [notebook-name]

### Status: PASS | ERRORS FOUND

### Errors (must fix)
- Cell N: [wrong result / claim; give correction]

### Warnings (should fix)
- Cell N: [notation / clarity]

### Notes (optional)
- [improvement]

Severity: ERROR = wrong physics; WARNING = notation/clarity; NOTE = optional.

References

• rules/physics-conventions.md, rules/teaching-philosophy.md, rules/notebook-architecture.md, CLAUDE.md
• _refs/ (project root): Professor's original lecture notes — the authoritative source for derivations, sign conventions, and physics arguments. Always cross-check against the corresponding _refs/ file before flagging a derivation as incorrect or rewriting it.