\({\mathcal{PT}}\)-symmetric waveguides and the lack of variational techniques

DOI10.1007/S00020-011-1926-8zbMath1247.35078OpenAlexW2069375680MaRDI QIDQ453672

David Krejčiřík

Publication date: 27 September 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1926-8

zbMATH Keywords

waveguidescomplex symmetric operatorRobin Laplacian\({\mathcal{PT}}\)-symmetrydiscrete and essential spectranon-self-adjoint boundary conditions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear accretive operators, dissipative operators, etc. (47B44) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

• \(\mathcal {PT}\)-symmetric waveguides
• On the spectrum of curved planar waveguides
• Non-Hermitian spectral effects in a {\cal P\cal T} -symmetric waveguide

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