List of mathematical topics in quantum theory

Mathematical formulation of quantum mechanics

bra–ket notation

canonical commutation relation

complete set of commuting observables

Heisenberg picture

Hilbert space

Interaction picture

Measurement in quantum mechanics

quantum field theory

quantum logic

quantum operation

Schrödinger picture

semiclassical

statistical ensemble

wavefunction

wave–particle duality

Wightman axioms

WKB approximation

Schrödinger equation

quantum mechanics, matrix mechanics, Hamiltonian (quantum mechanics)

particle in a box

particle in a ring

particle in a spherically symmetric potential

quantum harmonic oscillator

hydrogen atom

ring wave guide

particle in a one-dimensional lattice (periodic potential)

Symmetry

identical particles

angular momentum

angular momentum operator

rotational invariance

rotational symmetry

rotation operator

translational symmetry

Lorentz symmetry

Parity transformation

Noether's theorem

Noether charge

spin (physics)

isospin

Pauli matrices

scale invariance

spontaneous symmetry breaking

supersymmetry breaking

Quantum states

quantum number

Pauli exclusion principle

quantum indeterminacy

uncertainty principle

wavefunction collapse

zero-point energy

bound state

coherent state

squeezed coherent state

density state

Fock state, Fock space

vacuum state

quasinormal mode

no-cloning theorem

quantum entanglement

Dirac equation

spinor, spinor group, spinor bundle

Dirac sea

Spin foam

Poincaré group

gamma matrices

Dirac adjoint

Wigner's classification

anyon

Interpretations of quantum mechanics

Copenhagen interpretation

locality principle

Bell's theorem

Bell test loopholes

CHSH inequality

Wigner–d'Espagnat inequality

hidden variable theory

path integral formulation, quantum action

Bohm interpretation

many-worlds interpretation

Tsirelson's bound

Quantum field theory

Feynman diagram

One-loop Feynman diagram

Schwinger's quantum action principle

Propagator

Annihilation operator

S-matrix

Standard Model

Local quantum physics

Nonlocal

Effective field theory

Correlation function (quantum field theory)

Renormalizable

Cutoff

Infrared divergence, infrared fixed point

Ultraviolet divergence

Fermi's interaction

Path-ordering

Landau pole

Higgs mechanism

Wilson line

Wilson loop

Tadpole (physics)

Lattice gauge theory

BRST charge

Anomaly (physics)

Chiral anomaly

Braid statistics

Plekton

Computation

quantum computing

qubit

pure qubit state

quantum dot

Kane quantum computer

quantum cryptography

quantum decoherence

quantum circuit

universal quantum computer

timeline of quantum computing

Supersymmetry

Lie superalgebra

supergroup (physics)

supercharge

supermultiplet

supergravity

Quantum gravity

theory of everything

loop quantum gravity

spin network

black hole thermodynamics

Non-commutative geometry

Quantum group

Hopf algebra

Noncommutative quantum field theory

String theory

See list of string theory topics

Matrix model