Eigenvalue estimates for the Aharonov-Bohm operator in a domain

Negative Discrete Spectrum of Perturbed Multivortex Aharonov-bohm Hamiltonians

The diamagnetic inequality is established for the Schrödinger operator H 0 in L (R), d = 2, 3, describing a particle moving in a magnetic field generated by finitely or infinitely many Aharonov-Bohm solenoids located at the points of a discrete set in R, e.g., a lattice. This fact is used to prove the Lieb-Thirring inequality as well as CLR-type eigenvalue estimates for the perturbed Schrödinge...

Spectral Properties of Perturbed Multivortex Aharonov-bohm Hamiltonians

The diamagnetic inequality is established for the Schrödinger operator H 0 in L (R), d = 2, 3, describing a particle moving in a magnetic field generated by finitely or infinitely many Aharonov-Bohm solenoids located at the points of a discrete set in R, e.g., a lattice. This fact is used to prove the Lieb-Thirring inequality as well as CLR-type eigenvalue estimates for the perturbed Schrödinge...

Lieb-thirring Inequality for the Aharonov-bohm Hamiltonian and Eigenvalue Estimates

On the Leading Term of the Eigenvalue Variation for Aharonov-Bohm Operators with a Moving Pole

We study the behavior of certain eigenvalues for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We analyze the leading term in the Taylor expansion of the eigenvalue function as the pole moves in the interior of the domain, proving that it is a harmonic homogeneous polynomial and determining its exact coefficients.

اثرات ناخالصی‌های مغناطیسی بر عبور الکترون از یک نانو حلقه کوانتومی

In this paper we study the Aharonov-Bohm oscillations of transmission coefficient for an electron passing through a quantum nanoring with two identical magnetic impurities using quantum waveguide theory. It is shown that the Aharonov-Bohm oscillations are independent of the coupling constant between the electron and magnetic impurities for the singlet spin state of impurities, while for the o...