Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they necessarily require potentials which lead to the occurrence of Klein's parad...

It is well known that the formal Aharonov-Bohm Hamiltonian operator, describing the interaction of a charged particle with a magnetic vortex, has a four-parameter family of self-adjoint extensions, which reduces to a two-parameter family if one requires that the Hamiltonian commutes with the angular momentum operator. The question we study here is which of these self-adjoint extensions can be c...

abstract The spectral properties of the Dirac and the Klein-Gordon Hamiltonians in the the Aharonov-Bohm potential are discussed. By using the Krein-Friedel formula, the density of states (DOS) for diierent self-adjoint extensions is calculated. As in the nonrelativistic case, whenever a bound state is present in the spectrum it is always accompanied by a (anti)resonance at the energy proportio...

The preceding comment [1] has raised the question of the validity of the argument presented in the Letter [2] that the energy of the particles should be quantized in the background of a spinning cosmic string. As the construction of the electromagnetic analogy given in [2] suggests, a spinning cosmic string is the gravitational analog of the Aharonov-Bohm solenoid (flux tube), and the angular m...

We investigate the dephasing effect of the Kondo singlet in an Aharonov-Bohm interferometer with a quantum dot coupling to left and right electrodes. By employing the cluster expansions, the equations of motion of Green functions are transformed into the corresponding equation of motion of connected Green functions, which contains the correlation of two conduction electrons beyond the Lacroix a...

Spin-orbit interaction produces persistent spin and mass currents in the ring via the Aharonov-Casher effect. The experiment in 3 He − A 1 phase, in which this effect leads to the excitation of mass and spin supercurrent is proposed.

A quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms is proved. We also give an application to eigenvalue spacing on flat 2-tori with Aharonov-Bohm flux.

We solve a generalized Klein–Gordon oscillator (KGO) in the presence of uniform magnetic field including quantum flux under effects scalar and vector potentials Coulomb types static cosmic string space–time. obtain energy corresponding eigenfunctions, analyze relativistic analogue Aharonov–Bohm effect for bound states.