Roadmaps
Roadmaps connect prerequisite capabilities, subject explanations, and useful checkpoints. They are study sequences through the same material, independent of the subject catalog order. Choose a path for the question you want to answer.
First study
Section titled “First study”Use the First Quantum Mechanics Roadmap for a first serious pass. It identifies optional specialist exits when you can complete its checkpoints.
Choose a specialist path
Section titled “Choose a specialist path”Choose Your Path compares starting points. The computational roadmap includes two explicit theory-to-lab sequences with separate Next in this path controls; the other roadmaps organize their reading into phases and milestones.
| Goal | Roadmap |
|---|---|
| Support for a standard undergraduate course | Undergraduate Physics Roadmap |
| Preparation for graduate quantum mechanics | Graduate Quantum Mechanics Roadmap |
| Qubits, channels, circuits, and entanglement | Quantum Information Roadmap |
| Atoms, molecules, bonding, and electronic structure | Quantum Chemistry Roadmap |
| Atoms, molecules, optics, control, and precision measurement | AMO Physics Roadmap |
| Solids, bands, phonons, many-body models, and materials | Condensed Matter Roadmap |
| Hilbert-space rigor, operators, and spectral theory | Mathematical Quantum Mechanics Roadmap |
| Numerical spectra, time evolution, simulation, and benchmarks | Computational Quantum Mechanics Roadmap |
| Preparation for quantum field theory | Bridge to QFT Roadmap |
| Fast targeted review | Researcher Refresher Roadmap |
Roadmap Design Contract
Section titled “Roadmap Design Contract”Most roadmaps answer the same questions:
- who the route is for;
- what prerequisites it assumes;
- what sequence to study;
- which milestones show progress;
- which optional branches are useful;
- which references support the path;
- when to move on.
They use phases instead of weeks. A reader with strong mathematics may move quickly through early formalism and slow down in applications. A reader entering through chemistry or engineering may need more time with linear algebra and operators.
How to Use a Roadmap
Section titled “How to Use a Roadmap”Use a roadmap actively:
- Read the route once without opening every link.
- Mark the pages that are new to you.
- Work through one phase at a time.
- Use exercises and common mistakes as checkpoints.
- Keep a list of convention or notation confusions.
- Return to the roadmap after each phase and adjust.
The roadmaps are meant to prevent wandering, not to remove judgment.
Common Mistakes
Section titled “Common Mistakes”- Treating a roadmap as a fixed calendar.
- Reading every linked page before solving any problems.
- Skipping prerequisites because the target application looks more exciting.
- Using a reference page as a substitute for the canonical derivation.
- Treating one route as the only legitimate route through quantum mechanics.
References
Section titled “References”- C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics, Wiley, 1977.
- D. J. Griffiths and D. F. Schroeter, Introduction to Quantum Mechanics, 3rd ed., Cambridge University Press, 2018.
- J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, 3rd ed., Cambridge University Press, 2020.
- R. Shankar, Principles of Quantum Mechanics, 2nd ed., Springer, 1994.