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Bound states in waveguides with complex Robin boundary conditions
to non-self-adjoint PT-symmetric Robin boundary conditions. Its spectrum is found to be purely essential and real for constant boundary conditions. The influence of the perturbation in the boundary
BE - Teoretická fyzika
- 2016 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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PT-Symmetric Waveguides and the Lack of Variational Techniques
On a model of waveguide with non-Hermitian Robin-type boundary conditions, we demonstrate the need for a robust method establishing the existence of isolated eigenvalues for non-self-adjoint operators possessing both essent...
BA - Obecná matematika
- 2012 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Waveguides with combined Dirichlet and Robin boundary conditions
squeezed between two curves, subject to Dirichlet boundary conditions on one of the curves and variable Robin boundary conditions on the other. We prove that, for certain typesof Robin bounda...
BE - Teoretická fyzika
- 2006 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Positive solutions for the p-Laplacian with Robin boundary conditions on irregular domains
We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of pos...
BA - Obecná matematika
- 2011 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A Quasilinear Eigenvalue Problem with Robin Conditions on the Non-Smooth Domain of Finite Measure
In this paper, we consider a nonlinear eigenvalue problem involving the p-Laplacian with Robin boundary conditions on a domain of finite measure. We show the existence, simplicity and isolation of principal eigenvalue and r...
BA - Obecná matematika
- 2010 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The collapse of quasi-self-adjointness at the exceptional points of a PT-symmetric model with complex Robin boundary conditions
We consider non-self-adjoint PT-symmetric operators of Sturm–Liouville type with complex boundary conditions. We study the existence of a similarity transformation to a self-adjoint operator in dependence on the boundar...
Pure mathematics
- 2021 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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On the Resolvent of Multidimensional Operators with Frequently Alternating Boundary Conditions with the Robin Homogenized Condition
We consider an elliptic operator in a multidimensional domain with frequent alternation of the Dirichlet condition and the Robin boundary condition in the case where the homogenized operator contains only the origi...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The Pauli Equation with Complex Boundary Conditions
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 interplay between the type o...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Straight Quantum Waveguide with Robin Boundary Conditions
We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at...
BE - Teoretická fyzika
- 2007 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
The Laplacian in an unbounded tubular neighbourhood of a hyperplane with non-Hermitian complex-symmetric Robin-type boundary conditions is investigated in the limit when the width of the neighbourhood diminishes. W...
BM - Fyzika pevných látek a magnetismus
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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