Derivation Index
The derivation index is a map, not a duplicate textbook. It points to canonical pages where results are actually derived, and it groups them by topic, method, and level so readers can choose an efficient route.
Use this index when you know the result you want but not the canonical derivation page.
Main Routes
Section titled “Main Routes”- By Topic
- By Method
- By Level
- Core Formalism
- Canonical Systems
- Angular Momentum
- Perturbation Theory
- Scattering
- Density Matrices
- Open Systems
- Many-Body
- Quantum Information
- QFT Bridge
High-Frequency Derivation Targets
Section titled “High-Frequency Derivation Targets”- Born Rule
- General Uncertainty Relations
- Schrödinger Equation
- Heisenberg Equations of Motion
- Infinite Square Well
- Harmonic Oscillator Ladder-Operator Solution
- Angular and Radial Separation
- Nondegenerate Perturbation Theory
- Fermi’s Golden Rule
- First Born Approximation
- Partial Trace
- One-Body Operators in Second Quantization
Reading Rule
Section titled “Reading Rule”Before reading a derivation, identify the result, assumptions, representation, boundary conditions, and approximation order. For study habits, start with How to Use Derivations.
References
Section titled “References”- R. Shankar, Principles of Quantum Mechanics, 2nd ed., Springer, 1994.
- J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, 3rd ed., Cambridge University Press, 2020.
- C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics, Wiley, 1977.
- L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, 3rd ed., Pergamon, 1977.