Category
page 1Mathematical quantization
quantization
procedure to construct a quantum system whose classical limit corresponds to a given classical system
second quantization
formulation of the quantum many-body problem
noncommutative geometry
mathematical theory in which noncommutative algebraic structures are interpreted as rings of functions on an abstract space
Heisenberg group
Lie group of 3×3 upper triangular matrices under matrix multiplication
quantum group
algebraic construct of interest in theoretical physics
canonical quantization
process of converting a classical physical theory into one compatible with quantum mechanics

Phase space formulation
formulation of quantum mechanics in phase space
Wigner–Weyl transform
mapping between functions in the quantum phase space
geometric quantization
mathematical approach to defining a quantum theory corresponding to a given classical theory
Dirac bracket
quantization method for constrained Hamiltonian systems with second-class constraints