Induced Fractional Zero-Point Angular Momentum for Charged Particles of the Bohm-Aharonov System by means of a "Spectator" Magnetic Field
arXiv:0901.2618 · doi:10.1016/j.physletb.2008.10.056
Abstract
An induced fractional zero-point angular momentum of charged particles by the Bohm-Aharonov (B-A) vector potential is realized via a modified combined trap. It explores a "spectator" mechanism in this type of quantum effects: In the limit of the kinetic energy approaching one of its eigenvalues the B-A vector potential alone cannot induce a fractional zero-point angular momentum at quantum mechanical level in the B-A magnetic field-free region; But when there is a "spectator" magnetic field the B-A vector potential induces a fractional zero-point angular momentum. The "spectator" does not contribute to such a fractional angular momentum, but plays essential role in guaranteeing non-trivial dynamics at quantum mechanical level in the required limit. This "spectator" mechanism is significant in investigating the B-A effects and related topics in both aspects of theory and experiment.
14 pages, no figure
References in corpus (10)
- Topological phase due to electric dipole moment and magnetic monopole interaction
- Fractional Angular Momentum in Noncommutative Space
- Classical and Quantum Interaction of the Dipole
- "Peireles Substitution" and Chern-Simons Quantum Mechanics
- Testing Spatial Noncommutativity via Rydberg Atoms
- Quantization of the canonically conjugate pair angle and orbital angular momentum
- Quantum Dynamics of Magnetic and Electric Dipoles and Berry's Phase
- Quantization of the Optical Phase Space S^2 = {phi mod 2pi, I > 0} in Terms of the Group SO(1,2)
- Angular Momentum of Supersymmetric Cold Rydberg Atoms
- Searching for Effects of Spatial Noncommutativity via Chern-Simons' Processes