Theoretical seminar. Sokolov, Gladishev

Viktor Sokolov (Academic University, Ioffe Institute)

'Shift of an electron  in the magnetic strip' (20 min)

Abstract: Motion of an electron in infinite homogeneous magnetic field is a well-known quantum mechanical problem which was solved by Russian scientist Lev Landau. In this study,  we have considered a semi-infinite strip with a  homogeneous magnetic field. The objective was to find a quantum mechanical shift of an electron along the strip after it goes in and comes out of the region with magnetic field.  We consider particular case of normal initial velocity of an electron to the side of the strip and make a comparison between results which is obtained by using quantum and classical mechanics. Furthermore, briefly mentioned what is expected to be if an electron has arbitrarily tilted velocity to the side of the strip.

Sergey Gladishev (ITMO University)

'Symmetry analysis and multipole classication of eigenmodes in electromagnetic resonators'

Abstract: The most common way to enhance interaction of electromagnetic waves with matter at the nanoscale is to use microresonators and resonant optical nanoantennas. In virtue of small size, their optical properties are well described in terms of multipole decomposition, namely, by first several terms in the multipole expansion. The multipole expansion is a powerful tool explaining Kerker effect, anapole, supercavity mode, invisibility, transverse scattering and other beautiful optical phenomena. The specific multipole content of the mode is completely determined by its symmetry and shape of the resonator. Therefore, the classification and determination the multipole content of the eigenmodes in resonators depending on their symmetry is a task of great significance for modern nanophotonics.