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Mathematical Topics in Quantum Theory
edit- 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 physics
- Statistical ensemble (mathematical physics)
- Wave function
- Wave–particle duality
- Wightman axioms
- WKB approximation
- Schrödinger equation
- Quantum mechanics
- Matrix mechanics
- Hamiltonian (quantum mechanics)
- Particle in a box
- Particle in a spherically symmetric potential
- Quantum harmonic oscillator
- Hydrogen atom
- Particle in a ring
- Particle in a one-dimensional lattice
- Symmetry
- Identical particles
- Angular momentum
- Angular momentum operator
- Rotational invariance
- Rotational symmetry
- Rotation operator (vector space)
- Translational symmetry
- Lorentz covariance
- Parity (physics)
- Noether's theorem
- Spin (physics)
- Isospin
- Pauli matrices
- Scale invariance
- Spontaneous symmetry breaking
- Supersymmetry breaking
- Quantum state
- Quantum number
- Pauli exclusion principle
- Quantum indeterminacy
- Uncertainty principle
- Wave function collapse
- Zero-point energy
- Bound state
- Coherent states
- Squeezed coherent state
- Density matrix
- Fock state
- Fock space
- Vacuum state
- Quasinormal mode
- No-cloning theorem
- Quantum entanglement
- Spinor
- Spin group
- Spinor bundle
- Dirac sea
- Spin foam
- Poincaré group
- Gamma matrices
- Dirac adjoint
- Wigner's classification
- Anyon
- Feynman diagram
- One-loop Feynman diagram
- Tree diagram
- Schwinger's quantum action principle
- Propagator
- Creation and annihilation operators
- S-matrix
- Standard Model
- Local quantum field theory
- Nonlocal
- Effective field theory
- Correlation function (quantum field theory)
- Renormalization
- Cutoff
- Infrared divergence
- Infrared fixed point
- Ultraviolet divergence
- Path-ordering
- Landau pole
- Higgs mechanism
- Wilson loop
- Tadpole (physics)
- Lattice gauge theory
- BRST quantization
- Anomaly (physics)
- Chiral anomaly
- Braid statistics
- Plekton
- Computation
- Quantum computer
- Qubit
- Quantum dot
- Kane quantum computer
- Quantum cryptography
- Quantum decoherence
- Quantum circuit
- Quantum Turing machine
- Supersymmetry
- Lie superalgebra
- Supergroup (physics)
- Supercharge
- Supermultiplet
- Supergravity
- Quantum gravity
- Theory of everything
- Loop quantum gravity
- Spin network
- Black hole thermodynamics
- Noncommutative geometry
- Quantum group
- Hopf algebra
- Noncommutative quantum field theory