The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip

Cites Work

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Quantum and classical dynamics of an electron in thin curved tubes with spin and external electromagnetic fields taken into account
Asymptotic solutions of nonrelativistic equations of quantum mechanics in curved nanotubes. I: Reduction to spatially one-dimensional equations
Asymptotic partial decomposition of domain for spectral problems in rod structures
Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains
A Krein space approach to \(PT\) symmetry
\(\mathcal {PT}\)-symmetric waveguides
Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes
Non-homogeneous media and vibration theory
Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory
Exact solution for Morse oscillator in \(\mathcal P\mathcal T\)-symmetric quantum mechanics
On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
\(\mathcal P\mathcal T\)-symmetric harmonic oscillators
On a \(\mathcal{PT}\)-symmetric waveguide with a pair of small holes
Local perturbations of the Schrödinger operator on the axis
Asymptotic partial decomposition for diffusion with sorption in thin structures
Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes
Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
Non-Hermitian matrix description of the calPcalT-symmetric anharmonic oscillators
Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
Systematic search for 𝒫𝒯-symmetric potentials with real energy spectra
Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
Geometric coupling thresholds in a two-dimensional strip
On the spectrum of a two-dimensional periodic operator with a small localized perturbation
ON THE PSEUDO-HERMITICITY OF A CLASS OF PT-SYMMETRIC HAMILTONIANS IN ONE DIMENSION
Discrete spectrum of an asymmetric pair of waveguides coupled through a window
Perturbation theory of symmetric Hamiltonians
PT-symmetric square well