Mode transformation for a Schrödinger type equation: Avoided and unavoidable level crossings

I Fialkovsky, M Perel - Journal of Mathematical Physics, 2020 - pubs.aip.org
Methods elaborated in quantum mechanics for the Landau–Zener problem are generalized
to study the non-adiabatic transitions in a wide class of problems of wave propagation, in …

Adiabatic normal modes in a slowly irregular elastic waveguide resting on a Winkler foundation

B Erbaş, N Ege, MV Perel - 2023 Days on Diffraction (DD), 2023 - ieeexplore.ieee.org
Asymptotic expansion for normal modes in an elastic layer resting on the Winkler foundation
is constructed. Parameters of the layer slowly and smoothly vary in the lateral direction …

Особенности рефракции необыкновенного луча в геликоидальной среде с большим шагом спирали

ЕВ Аксенова, АЮ Вальков, АА Каретников… - Журнал …, 2004 - elibrary.ru
Теоретически и экспериментально исследованы эффекты рефракции
необыкновенного луча в геликоидальных системах с большим по сравнению с длиной …

Extraordinary ray refraction in a large pitch helical medium

EV Aksenova, AY Val'kov, AA Karetnikov… - Journal of Experimental …, 2004 - Springer
The phenomenon of extraordinary ray refraction in a helical liquid crystal with large
(compared to the light wavelength) pitch has been studied by theoretical and experimental …

Scattering of light in cholesteric liquid crystals with large pitch

EV Aksenova, VP Romanov, AY Val'kov - Physical Review E—Statistical …, 2005 - APS
We consider the problem of light scattering in a slab of cholesteric liquid crystal with the pitch
which significantly exceeds the wavelength of light. The electromagnetic wave propagation …

Propagation and scattering of light in helical liquid crystals with large pitch

EV Aksenova - Molecular Crystals and Liquid Crystals, 2008 - Taylor & Francis
The problems of light propagation and scattering in twisted nematic and cholesteric liquid
crystals are considered. We study the correlation function of the director fluctuations, the …

ПРИМЕНЕНИЕ ГЕОДЕЗИЧЕСКОГО МЕТОДА ПОДТАЛКИВАНИЯ УПРУГОЙ ЛЕНТОЙ ДЛЯ НАХОЖДЕНИЯ ПУТЕЙ С МИНИМАЛЬНЫМ ПЕРЕПАДОМ ЭНЕРГИИ …

ДС Касинцев - Информационные технологии Сибири, 2018 - elibrary.ru
Статья посвящена изучению влияния внешнего электрического поля на ячейку ХЖК при
двойной закрутке директора (изменении азимутального угла системы на 2π), а также …

A unifying asymptotic approach for nonadiabatic transitions near pairs of real or complex turning points

I Fialkovsky, M Perel - arXiv preprint arXiv:1604.07366, 2016 - arxiv.org
An asymptotic approach for a Schroedinger type equation with non selfadjoint Hamiltonian
of a special type in the case of two close degeneracy (turning) points is developed. Both real …