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

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

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

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

Use a roadmap actively:

1. Read the route once without opening every link.
2. Mark the pages that are new to you.
3. Work through one phase at a time.
4. Use exercises and common mistakes as checkpoints.
5. Keep a list of convention or notation confusions.
6. Return to the roadmap after each phase and adjust.

The roadmaps are meant to prevent wandering, not to remove judgment.

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

• 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.