Published November 2006
| Version v1
Journal article
Levinson theorem for Aharonov-Bohm scattering in two dimensions
Creators
- 1. Physikalisches Institut, Universitaet Bayreuth, D-95440 Bayreuth (Germany)
- 2. National Taras Shevchenko University of Kiev, 03127 Kiev (Ukraine)
Description
We apply the recently generalized Levinson theorem for potentials with inverse-square singularities [Sheka et al., Phys. Rev. A 68, 012707 (2003)] to Aharonov-Bohm systems in two dimensions (2D). By this theorem, the number of bound states in a given mth partial wave is related to the phase shift and the magnetic flux. The results are applied to 2D soliton-magnon scattering
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.74.052703;
- arXiv
- arXiv:quant-ph/0603123v3;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 74
- Journal Issue
- 5
- Journal Page Range
- p. 052703-052703.5
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39004220
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AHARONOV-BOHM EFFECT; BOUND STATE; LEVINSON THEOREM; MAGNETIC FLUX; PARTIAL WAVES; PHASE SHIFT; POTENTIALS; SCATTERING; SINGULARITY; SOLITONS
- Descriptors DEC
- QUASI PARTICLES
Optional Information
- Notes
- (c) 2006 The American Physical Society