In this paper, we compute the diffractive wave propagator of the Aharonov–Bohm effect
(Aharonov and Bohm, Phys Rev 115 (3): 485, 1959) on R 2 with a single solenoid using a …

The problem of two Aharonov–Bohm (AB) vortices for the Helmholtz equation is examined in
detail. It is demonstrated that the method proposed by Myers (1963 J. Math. Phys. 6 1839) …

The fact that vector potentials have a direct significance to quantum particles moving in
magnetic fields is known as the Aharonov–Bohm effect (A–B effect). We study this quantum …

We consider an invariant quantum Hamiltonian H=− Δ LB+ V in the L 2 space based on a
Riemannian manifold M ̃ with a countable discrete symmetry group Γ⁠. Typically, M ̃ is the …

Abstract According to the Aharonov–Bohm effect, magnetic potentials have a direct
significance to the motion of particles in quantum mechanics. We study this quantum effect …

A non-relativistic quantum model is considered with a point particle carrying a charge e and
moving in the plane pierced by two infinitesimally thin Aharonov–Bohm solenoids and …

That vector potentials have a direct significance to quantum particles moving in magnetic
fields is known as the A–B (Aharonov–Bohm) effect. We study scattering by two solenoidal …

The scattering of an incident plane wave on two Aharonov–Bohm vortices with opposite
fluxes is considered in detail. The presence of the vortices imposes non-trivial boundary …

Starting from the previously derived scattering matrix [P. Šťovíček, Phys. Lett. A 161, 13
(1991)] the differential cross section is calculated for electrons scattering on two infinitely thin …

We study the Aharonov–Bohm effect through the semiclassical analysis for the spectral shift
function and its derivative in magnetic scattering by two solenoidal fields in two dimensions …