A charged spinless particle in scalar-vector harmonic oscillators with uniform magnetic and Aharonov-Bohm flux fields

Relativistic Scalar Aharonov-Bohm Scattering

We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov-Bohm way or by using the Berry’s magnetization scheme. The perturbative treatment is developed in the Feshbach-Villars two-component formalism f...

Comment on "Aharonov-Casher and scalar Aharonov-Bohm topological effects".

We reexamine the topological and nonlocal natures of the Aharonov-Casher and scalar Aharonov-Bohm phase effects. The underlying U(1) gauge structure is exhibited explicitly. And the conditions for developing topological Aharonov-Casher and scalar Aharonov-Bohm phases are clarified. We analyze the arguments of M. Peshkin and H. J. Lipkin [Phys. Rev. Lett. 74, 2847 (1995)] in detail and show that...

Quantum motion of a particle on a continuous ring linking Aharonov-Bohm Flux in the presence of dissipative coupling to a bath of harmonic oscillators

On the Non-Abelian Aharonov Bohm Scattering of Spinless Particles

The Aharonov Bohm scattering for spinless, isospin 1/2, particles interacting through a non-Abelian Chern-Simons field is studied. Starting from the relativistic quantum field theory and using a Coulomb gauge formulation, the one loop renormalization program is implemented. Through the introduction of an intermediary cutoff, separating the regions of high and low integration momentum, the nonre...

Conductivity in Carbon Nanotubes with Aharonov–Bohm Flux

The Boltzmann conductivity is calculated for carbon nanotubes in the presence of an Aharonov–Bohm magnetic flux. Effects of impurity scattering are considered at low temperatures and those of electron– phonon scattering are considered at room temperature. Effects of strains and curvature manifest themselves as a prominent conductivity peak as a function of the flux. The appearance of the peak c...