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- W2120961017 abstract "We calculate the force operator for a charged particle in the field of an Aharonov-Bohm flux line. Formally this is the Lorentz force, with the magnetic field operator modified to include quantum corrections due to anomalous commutation relations. For stationary states, the magnitude of the force is proportional to the product of the wavenumber k with the amplitudes of the `pinioned' components, the two angular momentum components whose azimuthal quantum numbers are closest to the flux parameter α. The direction of the force depends on the relative phase of the pinioned components. For paraxial beams, the transverse component of our expression gives an exact version of Shelankov's formula (Shelankov A 1998 Europhys. Lett. 43 623-8), while the longitudinal component gives the force along the beam." @default.
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- W2120961017 date "2001-01-18" @default.
- W2120961017 modified "2023-09-26" @default.
- W2120961017 title "Force and impulse from an Aharonov-Bohm flux line" @default.
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- W2120961017 doi "https://doi.org/10.1088/0305-4470/34/4/308" @default.
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