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Quantum Mechanics Background and Quantization[edit]
- Dirac–von Neumann axioms
- Mathematical formulation of quantum mechanics
- Rigged Hilbert space
- Wigner quasiprobability distribution
- Wigner–Weyl transform
- Glauber–Sudarshan P representation
- Quantization (physics)
- Canonical quantization
- Canonical commutation relation
- Stone–von Neumann theorem
- Phase space formulation
- Geometric quantization
- Kontsevich quantization formula
- Creation and annihilation operators
- First quantization
- Second quantization
- Fock state
- Symmetry in quantum mechanics
- Position and momentum space
- Configuration space
- Phase space
- Hamiltonian mechanics
- Statistical ensemble (mathematical physics)
- Canonical transformation
- Canonical coordinates
- Hamiltonian constraint
- Primary constraint
- First class constraint
- Dirac bracket
- Poisson bracket
- Poisson algebra
- Peierls bracket
- Moyal product
- Moyal bracket
- Operator (mathematics)
- Self-adjoint
- Self-adjoint operator
- Differential operator
- C*-algebra
- Partial trace
- Spectrum (functional analysis)
- Spectral theorem
- Projective representation
- Heisenberg group
- John von Neumann
- E. C. George Sudarshan