Fractional Zero-Point Angular Momenta in Noncommutative Quantum Mechanics
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AbstractThe 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.
2016 ◽
Vol 31
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pp. 1630025
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2006 ◽
Vol 46
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pp. 825-828
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2006 ◽
Vol 21
(39)
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pp. 2971-2976
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2008 ◽
Vol 666
(2)
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pp. 199-204
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