Partial wave analysis of scattering with the nonlocal Aharonov-Bohm effect and the anomalous cross section induced by quantum interference

Journal Article · Sat May 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.052711· OSTI ID:20643621

Lin, D -H ^[1]

---

1. Department of Physics, National Sun Yat-sen University, Kaohsiung, Taiwan (China)

Partial wave theory of a three dimensional scattering problem for an arbitrary short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a 'hard sphere'-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 a quite general potential system and will be useful in understanding some other phenomena in mesoscopic physics.

• OSTI ID: 20643621
• Journal Information: Physical Review. A, Vol. 69, Issue 5; Other Information: DOI: 10.1103/PhysRevA.69.052711; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
AHARONOV-BOHM EFFECT
BOSONS
CHARGED PARTICLES
FERMIONS
HALL EFFECT
INTERFERENCE
MAGNETIC FLUX
PARTIAL WAVES
POTENTIALS
QUANTIZATION
QUANTUM FIELD THEORY
SCATTERING
TOTAL CROSS SECTIONS