Fractional Zero-Point Angular Momenta in Noncommutative Quantum Mechanics
Sijia Liu, Yufei Zhang, Zheng‐Wen Long +1 more
Abstract The charged particle confined by a harmonic potential in a noncommutative planar phase space interacting with a homogeneous dynamical magnetic field and Aharonov-Bohm potentials is studied. We find that the canonical orbital angular momenta of the reduced models, which are obtained by setting the mass and a dimensionless parameter to zero, take fractional values. These fractional angular momenta are not only determined by the flux inside the thin long solenoid but also affected by the noncommutativities of phase space.
Zeitschrift für Naturforschung A•Aug 24, 2016•0 citations