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...

The model of lattice fermions in 2+1 dimensional space is formulated, the critical states of which are lying in the basis of such physical problems, as 3D Ising Model(3DIM) and the edge excitations in the Hall effect. The action for this exitations coincides with the action of so called sign-factor model in 3DIM at one values of its parameters, and represent a model for the edge excitations, wh...

The lines of the Mg I spectrum, lying in the visible and in the photographic infrared regions, have been examined and some of them found to show structure. It is pointed out that the structure should be attributed to isotope shift, which, in the case of the 3s3p 'P —3s3d 'D series, owes its origin to the fact-that the smd 'D terms, perturbed by the p''D term, have passed on to this term some of...

DOI: 10.1002/aelm.201500070 simulations by Dvornik et al. [ 30 ] Recently, Keatley et al. [ 31 ] used a time-resolved scanning Kerr microscopy to isolate the dynamic dipolar interaction between a pair of nominally-shaped disks. However, a detailed scrutiny of phase-resolved Kerr ellipticity data is required to determine the dynamic dipolar coupling strength versus edge-to-edge spacing/diameter ...

Power corrections to the Q2 behaviour of the low-order moments of both the longitudinal and transverse structure functions of proton and deuteron have been investigated using available phenomenological fits of existing data in the Q2 range between 1 and 20 (GeV/c)2. The Natchmann definition of the moments has been adopted for disentangling properly target-mass and dynamical higher-twist effects...

In the framework of perturbative QCD in the fourth order over the αs coupling constant for the production of two pairs of quarks and in the model of weak binding of the quarks into meson, the analysis of the hadronic production of mesons, containing b-quark, is performed, and a minimal transverse momentum is determined, so that at the momenta greater than the found one, the meson differential s...

Plasmon decay via the surface or interface is a critical process for practical energy conversion and plasmonic catalysis. However, relationship between plasmon damping coupling 2D materials still unclear. The spectral splitting due to plasmon–exciton interaction impedes conventional single-particle method evaluate rate by linewidth. single gold nanorod using spectroscopy technique assisted with...