# Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration

@article{Olendski2011ResonantAO,
title={Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration},
author={Oleg Olendski},
journal={arXiv: Mesoscale and Nanoscale Physics},
year={2011}
}
• O. Olendski
• Published 1 March 2011
• Physics, Mathematics
• arXiv: Mesoscale and Nanoscale Physics
Solutions of the scalar Helmholtz wave equation are derived for the analysis of the transport and thermodynamic properties of the two-dimensional disk and three-dimensional infinitely long straight wire in the external uniform longitudinal magnetic field $\bf B$ under the assumption that the Robin boundary condition contains extrapolation length $\Lambda$ with nonzero imaginary part $\Lambda_i$. As a result of this complexity, the self-adjointness of the Hamiltonian is lost, its eigenvalues $E… 13 Citations ## Figures from this paper Guiding structures with multiply connected cross sections: Evolution of propagation in external fields at complex Robin parameters Abstract Properties of the two-dimensional ring and three-dimensional infinitely long straight hollow waveguide with unit width and inner radius ρ 0 in the superposition of the longitudinal uniform Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures Information-theoretical concepts are employed for the analysis of the interplay between a transverse electric field$\mathscr{E}$applied to a one-dimensional surface and Robin boundary condition Evolution of electric-field-induced quasibound states and resonances in one-dimensional open quantum systems A comparative analysis of three different time-independent approaches to studying open quantum structures in uniform electric field$\mathscr{E}$was performed using the example of one-dimensional Influence of the interplay between de Gennes boundary conditions and cubicity of Ginzburg-Landau equation on the properties of superconducting films Exact solutions of the Ginzburg-Landau (GL) equation for the straight film subjected at its edges to the Robin-type boundary conditions characterized by the extrapolation length$\Lambda$are Curvature-induced bound states in Robin waveguides and their asymptotical properties • Mathematics, Physics • 2014 We analyze bound states of Robin Laplacian in infinite planar domains with a smooth boundary, in particular, their relations to the geometry of the latter. The domains considered have locally On the eigenvalues of the Robin Laplacian with a complex parameter • Mathematics • 2019 We study the spectrum of the Robin Laplacian with a complex Robin parameter$\alpha$on a bounded Lipschitz domain$\Omega$. We start by establishing a number of properties of the corresponding From a particle in a box to the uncertainty relation in a quantum dot and to reflecting walls for relativistic fermions • Physics, Mathematics • 2012 Abstract We consider a 1-parameter family of self-adjoint extensions of the Hamiltonian for a particle confined to a finite interval with perfectly reflecting boundary conditions. In some cases, one Rényi and Tsallis entropies of the Dirichlet and Neumann one‐dimensional quantum wells A comparative analysis of the Dirichlet and Neumann boundary conditions (BCs) of the one-dimensional (1D) quantum well extracts similarities and differences of the Renyi$R(\alpha)$as well as The Pauli equation with complex boundary conditions • Mathematics, Physics • 2012 We consider one-dimensional Pauli Hamiltonians in a bounded interval with possibly non-self-adjoint Robin-type boundary conditions. We study the influence of the spin–magnetic interaction on the Perfect transmission scattering as a PT-symmetric spectral problem • Physics, Mathematics • 2011 Abstract We establish that a perfect-transmission scattering problem can be described by a class of parity and time reversal symmetric operators and hereby we provide a scenario for understanding and ## References SHOWING 1-10 OF 218 REFERENCES Analytical and numerical study of a curved planar waveguide with combined Dirichlet and Neumann boundary conditions in a uniform magnetic field • Physics • 2008 A model of a thin straight strip with a uniformly curved section and with different uniform boundary conditions on the opposite edges subjected to the homogeneous magnetic field$\mathbf{B}\$ is
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