6533b870fe1ef96bd12cf3a2
RESEARCH PRODUCT
Algebraic quantization on a group and nonabelian constraints
Alfonso RamirezVictor AldayaJosé Navarro-salassubject
Quantum group58D30Differential structureStatistical and Nonlinear PhysicsString theoryAlgebra58F0622E7081D07Operator algebraUnitary group81E30Algebraic numberQuantum field theoryMathematical PhysicsIdentical particlesMathematicsdescription
A generalization of a previous group manifold quantization formalism is proposed. In the new version the differential structure is circumvented, so that discrete transformations in the group are allowed, and a nonabelian group replaces the ordinary (central)U(1) subgroup of the Heisenberg-Weyl-like quantum group. As an example of the former we obtain the wave functions associated with the system of two identical particles, and the latter modification is used to account for the Virasoro constraints in string theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1989-12-01 | Communications in Mathematical Physics |