# 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} }

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

Guiding structures with multiply connected cross sections: Evolution of propagation in external fields at complex Robin parameters

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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…

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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…

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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…

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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…

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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

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- 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…

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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…

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- 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…

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- 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…

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