In this note we make some remarks concerning maximum principles holding for nonlocal diffusion operator of the form

We study the Aharonov-Casher (AC) effect and the related He-McKellarWilkens (HMW) effect in 2 + 1 dimensions. In this restricted space these effects are the result of the interaction of the electromagnetic field tensor with the dual of a current. Transferring the dual operation from the current to the field tensor shows that this interaction may be reinterpreted as due to the interaction of an ...

Cascaded second-order and piezoelectric contributions to degenerate four-wave mixing in noncentrosymmetric materials are analyzed in detail. The effective third-order susceptibility measured in degenerate four-wave mixing becomes strongly dependent on experimental parameters that do not normally influence the third-order response in centrosymmetric materials. This introduces important new requi...

We study the proximity effect in superconductor-metallic or ferromagnetic Aharonov Bohm loop hybrid structures self consistently using the Bogoliubov-deGennes formalism within the two dimensional extended Hubbard model. We calculate the local density of states, the pair amplitude, and persistent currents as a function of several modulation parameters, the position around the loop, the exchange ...

In this paper we are interested in similar inequalities for magnetic Dirichlet forms with Aharonov-Bohm vector potentials that have multiple singularities. Let P1 = (x1, y1), . . . , Pn = (xn, yn) be n different points in R . We can identify R with C by the correspondence (x, y) 7→ z = x + iy and the points P1, . . . , Pn then correspond to the complex numbers z1 = x1 + iy1, . . . , zn = xn + i...

An experiment is proposed to test Bell’s theorem in a purely macroscopic domain. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. It is stressed why the inequalities should not be presumed to hold for such a macroscopic system without actual experimental evidence. In particular, by providing a purely classical, topological explana...

We calculate the lowest-dimensional nonlocal quark and gluon condensates within the single instanton approximation of the instanton liquid model. As a result, we determine the values of average virtualities of quarks λq and gluons λ 2 g in the QCD vacuum and obtain parameterless predictions for the ratio λg/λ 2 q = 12/5, and for some ratios of different vacuum condensates of higher dimensions. ...

Errors pertaining to the following physical theories are discussed: the Dirac magnetic monopole theory; the KleinGordon equation; the Yukawa theory of nuclear force; the idea of Vector Meson Dominance; the Aharonov-Bohm effects; the idea of diffraction-free electromagnetic beams and Quantum Chromodynamics. Implications of the theoretical errors are discussed briefly. In particular, relations be...