Index: Physics

Physics

Routing Summary

This folder covers theoretical physics, from the foundations of quantum mechanics to quantum field theory and gauge theories. Contains 14 notes across 2 sub-topics. On 2026-09-18 the parallel Theoretical Physics/ folder (a second ingest of the same three sources) was merged into this one: duplicate overviews were combined and the remaining notes moved into the sub-topics below.

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

Sub-topics

Sub-topic	Notes	Domain
Foundations	7	QM overview, mathematical formalism, key phenomena, wave functions, Schrödinger equation, uncertainty principle, entanglement
Quantum Field Theory	7	QFT overview, canonical quantization, QED, renormalization, gauge theory, Yang–Mills, Standard Model

Concept Map

Concept	Note	Type	Depends On	Key Result
QM big picture	Quantum Mechanics - Overview	overview	—	QM predicts probabilities; states live in Hilbert space
QM formalism	Quantum Mechanics - Mathematical Formalism	concept	Quantum Mechanics - Overview	Observables are Hermitian operators; Born rule
QM phenomena	Quantum Mechanics - Key Phenomena	concept	Quantum Mechanics - Overview	Duality, tunneling, Bell’s theorem
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 and Hilbert Space	$i\hslash {\partial }_t\psi =H\psi$
Uncertainty principle	Uncertainty Principle	theorem	Wave Function and Hilbert Space	${\sigma }_X{\sigma }_P\ge \hslash /2$
Quantum entanglement	Quantum Entanglement	concept	Wave Function and Hilbert Space	Non-separable states; Bell’s theorem
QFT overview	Quantum Field Theory - Overview	overview	Quantum Mechanics - Overview	Fields as operator-valued distributions; particles as excitations
Canonical quantization	Canonical Quantization of Fields	concept	Quantum Field Theory - Overview	Ladder operators; Fock space
QED and Feynman diagrams	QED and Renormalization	concept	Quantum Field Theory - Overview	QED accurate to 1 in $10^{12}$
Renormalization	Renormalization	concept	Canonical Quantization of Fields	Remove UV divergences; running coupling
Gauge theory	Gauge Theory - Overview	overview	Quantum Field Theory - Overview	Local symmetry → gauge boson
Yang–Mills theory	Yang-Mills Theory and Gauge Fields	theorem	Gauge Theory - Overview	Non-abelian gauge fields
Standard Model	Standard Model and Gauge Groups	concept	Gauge Theory - Overview	$\text{U}(1)\times \text{SU}(2)\times \text{SU}(3)$

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)
• Category Theory — the mathematical language behind fiber bundles and symmetry
• Research — Parent index