Index: Physics

Physics

Routing Summary

This folder covers theoretical physics, from the foundations of quantum mechanics to quantum field theory and gauge theories. Contains notes across 2 major sub-topics.

• Need quantum mechanics basics (wave functions, uncertainty, entanglement)? → Foundations
• Need quantum field theory, gauge theory, or the Standard Model? → Quantum Field Theory

Sub-topics

Sub-topic	Notes	Domain
Foundations	4	Wave functions, Schrödinger equation, uncertainty principle, entanglement
Quantum Field Theory	5	Canonical quantization, renormalization, gauge theory, Standard Model

Concept Map

Concept	Note	Type	Depends On	Key Result
Wave function & Hilbert space	Wave Function and Hilbert Space	definition	—	State as vector in $\mathcal{H}$; Born rule
Schrödinger equation	Schrödinger Equation and Time Evolution	theorem	Wave Function	$i\hslash {\partial }_t\psi =H\psi$
Uncertainty principle	Uncertainty Principle	theorem	Wave Function	${\sigma }_X{\sigma }_P\ge \hslash /2$
Quantum entanglement	Quantum Entanglement	concept	Wave Function	Non-separable states; Bell’s theorem
QFT overview	QFT Overview	overview	QM	Fields as operator-valued distributions
Canonical quantization	Canonical Quantization of Fields	concept	QFT Overview	Ladder operators; Fock space
Renormalization	Renormalization	concept	Canonical Quantization	Remove UV divergences; running coupling
Gauge theory	Gauge Theory Overview	overview	QFT Overview	Local symmetry → gauge boson
Yang–Mills theory	Yang-Mills Theory and Gauge Fields	theorem	Gauge Theory	Non-abelian gauge fields; Standard Model

Sources

• Quantum mechanics — Wikipedia: Quantum mechanics (2026-04-10)
• Quantum field theory — Wikipedia: Quantum field theory (2026-04-10)
• Gauge theory — Wikipedia: Gauge theory (2026-04-10)

See Also

• Bayesian Statistics — Probabilistic reasoning (conceptual bridge)
• Research — Parent index