Parallel axis theorem for free-space electron wavefunctions

Abstract

We consider the orbital angular momentum of a free electron vortex moving in a uniform magnetic field. We identify three contributions to this angular momentum: the canonical orbital angular momentum associated with the vortex, the angular momentum of the cyclotron orbit of the wavefunction, and a diamagnetic angular momentum. The cyclotron and diamagnetic angular momenta are found to be separable according to the parallel axis theorem. This means that rotations can occur with respect to two or more axes simultaneously, which can be observed with superpositions of vortex states.

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• General quantum-mechanical solution for twisted electrons in a uniform magnetic field
• The physics of helical electron beam in a uniform magnetic field as a testing ground of gauge principle
• Transmission of vortex electrons through a solenoid
• Radiative spin polarization in an ultrastrong magnetic field
• Classical understanding of the electron vortex beams in a uniform magnetic field
• Revisiting the compatibility problem between the gauge principle and the observability of the canonical orbital angular momentum in the Landau problem
• Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
• Role of guiding center in Landau level system and mechanical and pseudo orbital angular momenta
• Singularities and internal rotational dynamics of electron beams
• Nonstationary Laguerre-Gaussian states in magnetic field
• Angular momentum dynamics of vortex particles in accelerators
• Optical angular momentum in atomic transitions: a paradox
• Adiabatic amplification of energy and magnetic moment of a charged particle after the magnetic field inversion
• Vortex particles in axially symmetric fields and applications of the quantum Busch theorem