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- Quantum Algebraic Topology, Quantum Field Theory and SUSY
- Quantum mechanics
- Schrödinger equation
- Dirac equation
- Klein-Gordon equation
- Rigged Hilbert space
- Quantum field theory
- Scalar field theory
- Yang-Mills theory
- Yangian
- Quantum gauge theory
- Standard Model
- Topological quantum field theory
- Noncommutative quantum field theory
- Quantum gravity
- Quantum statistical mechanics
- Quantum thermodynamics
- Noncommutative quantum field theory
- Noncommutative standard model
- List of quantum field theories
- Noncommutative geometry
- Quantum Logics and Quantum Computers
- Multi-valued logic
- Quantum information
- Quantum logic
- Quantum computer
- Quantum Algebra and Quantum Theories
- Quantum algebra
- Lie algebra
- Lie group
- Hopf algebra
- Quantum group
- Affine quantum group
- Affine Lie algebra
- Quantum affine algebra
- Operator algebra
- Clifford algebra
- C*-algebra
- Kac-Moody algebra
- Distribution (mathematics)
- Hilbert space
- Spectral theory
- Von Neumann algebra
- Quantum mechanics
- Schrödinger equation
- Dirac equation
- Klein–Gordon equation
- Einstein-Maxwell-Dirac equations
- Rigged Hilbert space
- Quantum inverse scattering method
- Quasi-Hopf algebra
- Quasitriangular Hopf algebra
- Ribbon Hopf algebra
- Quasi-triangular Quasi-Hopf algebra
- Grassmann algebra
- Scalar field theory
- Yang–Mills theory
- Supergroup
- Superalgebra
- Group Representations and Symmetry
- Symmetry
- Group representations
- Unitary representations
- Representation theory of the Lorentz group
- Double group
- Stone-von Neumann theorem
- Peter-Weyl theorem
- Goldstone theorem
- Supersymmetry
- Invariance mechanics
- Supergravity
- Wigner's theorem
- Wigner's classification
- Quantum electrodynamics
- Quantum hydrodynamics
- Quantum magnetodynamics
- Higher Dimensional Algebra
- Higher dimensional algebra
- Higher category theory
- Duality (mathematics)
- Noncommutative geometry
- Algebraic Logic
- Boolean logic
- Algebraic logic
- Łukasiewicz logic
- Intuitionistic logic
- Mathematical logic
- Heyting arithmetic
- Symbolic logic
- Metatheory
- Metalogic