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Quantum Physics II

Course Overview

  • Institution: MIT
  • Course code: 8.05
  • Track: Physics Foundations
  • Tier: A
  • Role: Supplement
  • Level: Not standardized by provider (use prerequisites)
  • Last reviewed: 2026-07-28

MIT's Quantum Physics II deepens quantum physics after Quantum Physics I, offering videos and notes while leaving practice and exam feedback incomplete.

Why choose this course

Supplement course. A reliable option that can serve as a main course or strong alternative.

Before you start

  • Recommended foundation: Engineering Mathematics
  • Course-sequence requirement: complete Quantum Physics I (MIT 8.04) first

Verifiable learning outcomes

  • Explain the core models in Physics Foundations, including their assumptions and limits
  • Solve representative derivations and problems, checking units, limiting cases, or numerical results

Workload and pacing

5 weeks at 4 hours/week. This maintainer planning estimate is derived from course role and the density of public practice and labs; it is not a provider workload promise. Pilot two weeks while logging instruction, practice, lab, and review time, then adjust the remaining plan when actual effort differs by more than 25%.

Safety level

Standard study. No physical lab is recorded; follow ordinary electrical, ergonomic, data, and equipment-use precautions.

Course Resources

Software, hardware, and cost

Software

  • Maintainer-suggested open-source/free verification path: Python 3, Jupyter, SciPy, Matplotlib, and VPython
  • The resource inventory does not list public code coverage; the tools above are only a maintainer-suggested independent check, not a provider requirement

Hardware

  • The resource inventory does not list public lab coverage; default to simulation and do not purchase low-voltage sensors, a data-acquisition interface, and basic measurement tools explicitly listed by the course lab manual. If extending the course independently, first verify provider scope and reassess safety

Cost note

The current maintainer path assumes no dedicated hardware purchase and prefers open-source/free software; this is not a provider requirement. If the provider separately lists commercial software, components, equipment, or institutional access, costs vary by provider, region, and institution.

Public resource coverage

Resource type Completeness
Video Complete
Notes Complete
Practice Partial
Labs No public material
Exams Partial
Code No public material

Resources and access

Resource Access License Status Verified
Course home Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Assignments Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 1 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 10 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 11 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 2 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 3 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Problem Set 4 (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Syllabus Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Exams Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
2011 Final Exam (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
2012 Final Exam (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
2013 Final Exam (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Final Exam Formula Sheet (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Calendar Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Lecture 10: Uncertainty Principle and Compatible Observables Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Lecture 11: Uncertainty Principle and Compatible Observables (cont.) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Lecture 12: Quantum Dynamics Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Lecture 13: Quantum Dynamics (cont.) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Lecture 3: Wave Mechanics (cont.) and Stern-Gerlach Experiment Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Addition of Angular Momentum (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Dirac’s Bra and Ket Notation (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Angular Momentum (PDF) Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28
Video Lectures Open access CC BY-NC-SA 4.0 for site materials; third-party exclusions may apply Listed by official page 2026-07-28

“Listed by official page” means the link was discovered on a successfully fetched official source on the verification date; it does not guarantee that every region or account can open the target directly. Access does not grant redistribution rights. Re-check the provider page, target link, and third-party notices before downloading, adapting, or publishing material.

Practice and Verification

Practice loop

Quantum Physics II · MIT 8.05: Conservation-Law Digital Experiment

This is a maintainer-suggested self-study project for Quantum Physics II · MIT 8.05, not an official course assignment. Create a numerical experiment for a dynamics, field, wave, or quantum model from Physics Foundations and audit it using conservation quantities, symmetries, and scaling laws.

Origin: Maintainer-suggested project

Deliverables

  • A model specification containing equations, initial and boundary conditions, units, and nondimensional parameters
  • An executable solver with at least two time-step or mesh-resolution configurations
  • Raw data and plots for conserved quantities, phase or field distributions, and convergence rate
  • A report comparing an analytic or approximate baseline and locating numerical dissipation, dispersion, or boundary reflections

Verification

  • Keep the primary conserved-quantity drift below 1% over the nominal run or explain the discretization error
  • Halve the mesh or time step and record the observed convergence slope against the expected order
  • Cross-check at least five observables with dimensional analysis and one analytic limit
  • Apply an unstable step size or incorrect boundary, capture the divergence point, and demonstrate failure diagnostics

Reproducibility

  • Commit versioned model, solver, test, plotting, and equation-source files
  • Pin solver versions, precision, mesh-generation parameters, and execution commands
  • Preserve raw field data, logs, and checksums and generate the report through the same pipeline

Safety boundary: Simulation only — Use numerical experiments only; do not construct moving machinery, strong-field, high-voltage, vacuum, laser, or radiation apparatus.

Risks, gaps, and boundaries

Requires Quantum Physics I; public practice and exams lack complete solution feedback.

Completion evidence

  • Weekly learning log with time, questions, corrected errors, decisions, next steps, and links to that week's reproducible artifacts
  • Theory dossier with explicit assumptions, notation, derivation, units, and boundary conditions, checked by at least one independent method
  • Simulation package with model or netlist, inputs, solver and version, parameter-sweep script, benchmark comparison, expected results, and one rerun command