6533b85bfe1ef96bd12bbddf
RESEARCH PRODUCT
The Bohm-Aharonov effect: A seven-dimensional structural group
Christiane Martinsubject
Filtered algebraQuantum affine algebraQuantum groupQuantum mechanicsCurrent algebraAlgebra representationStatistical and Nonlinear PhysicsUniversal enveloping algebraLie superalgebraCasimir elementMathematical PhysicsMathematicsdescription
We realize a nonfaithful representation of a seven-dimensional Lie algebra, the extension of which to its universal enveloping algebra contains most of the observables of the scattering Aharonov-Bohm effect, as essentially self-adjoint operators: the scattering Hamiltonian, the total and kinetic angular momenta, the positions and the kinetic momenta. By restriction, we obtain the model introduced in Lett. Math. Phys.1 (1976), 155–163.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-05-01 | Letters in Mathematical Physics |