Akademik Veri Yönetim Sistemi
Journal of Physics A: Mathematical and Theoretical, cilt.43, sa.35, 2010 (SCI-Expanded)
The Aharonov-Casher (AC) Hamiltonian with the inclusion of the ∇⇀ · E→ term, which introduces a new singular interaction at the origin, is considered. Proceeding within the framework of the model of a finite-radius filament that is shrunk to zero at the end, the effect of the inclusion of this term on the original AC cross section is investigated. While the inclusion of this term gives rise to components of the radial wavefunctions that are irregular at the origin, it is found that the original AC cross section is the same whether one includes it or not, and regardless of whether the resulting singular interaction is attractive or repulsive. The underlying physics is discussed, and the physical equivalence with the spin one-half AB case is established. © 2010 IOP Publishing Ltd.