Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference
arXiv:quant-ph/0312200 · doi:10.1103/PhysRevA.69.052711
Abstract
Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at low energy which helps explain the composite fermion and boson model in the fractional quantum Hall effect. Since the nonlocal quantum interference of magnetic flux on the charged particles is universal, the nonlocal effect is expected to appear in quite general potential system and will be useful in understanding some other phenomena in mesoscopic phyiscs.
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References in corpus (8)
- Manipulating the Quantum State of an Electrical Circuit
- Kondo Correlations and the Fano Effect in Closed AB-Interferometers
- Non-Quantized Penetration of Magnetic Field in the Vortex State of Superconductors
- Cooper Instability of Composite Fermions
- Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
- Path integral for a relativistic Aharonov-Bohm-Coulomb system
- Path Integral Solution by Sum Over Perturbation Series
- Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect