Spectrum of the metric operator of a simple \(\mathcal{PT}\)-symmetric model

DOI10.1007/S10773-010-0620-YzbMath1213.81156OpenAlexW2088381813MaRDI QIDQ539577

Jakub Železný

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0620-y

zbMATH Keywords

Robin boundary conditions\(\mathcal{PT}\)-symmetrymetric operatornon-Hermiticityquasi-Hermiticity

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10)

Related Items (1)

On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators

Cites Work

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• \(\mathcal {PT}\)-symmetric waveguides
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Perturbation theory for linear operators.
• Quasi-Hermiticity in infinite-dimensional Hilbert spaces
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop
• 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
• The largeNbehaviour of the Lipkin model and exceptional points
• 𝓟𝓣-symmetric quantum mechanics
• Closed formula for the metric in the Hilbert space of a -symmetric model

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