Levinson theorem for Aharonov-Bohm scattering in two dimensions

Journal Article · Wed Nov 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.052703· OSTI ID:20974739

Sheka, Denis D; Mertens, Franz G ^[1]

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1. National Taras Shevchenko University of Kiev, 03127 Kiev (Ukraine)

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.

• OSTI ID: 20974739
• Journal Information: Physical Review. A, Vol. 74, Issue 5; Other Information: DOI: 10.1103/PhysRevA.74.052703; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
BOUND STATE
LEVINSON THEOREM
MAGNETIC FLUX
PARTIAL WAVES
PHASE SHIFT
POTENTIALS
SCATTERING
SINGULARITY
SOLITONS