Scattering theory for 0-perturbed \(\mathcal{PT}\)-symmetric operators

DOI10.1007/s11253-014-0851-9zbMath1323.47006OpenAlexW1992203234MaRDI QIDQ893090

Sergei Kuzhel, A. I. Hrod

Publication date: 13 November 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0851-9

Mathematics Subject Classification ID

Scattering theory of linear operators (47A40) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Cites Work

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• Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem
• The Lax--Phillips scattering approach and singular perturbation of Schrödinger operator homogeneous with respect to scaling transformations
• Scattering in \(\mathcal{PT}\)-symmetric quantum mechanics
• Characteristic functions of almost solvable extensions of Hermitian operators
• On a class of \(J\)-self-adjoint operators with empty resolvent set
• Lax-Phillips scattering theory for PT-symmetric ρ-perturbed operators
• On J-self-adjoint operators with stable C-symmetries
• \mathcal {P}\mathcal {T}-symmetry, Cartan decompositions, Lie triple systems and Krein space-related Clifford algebras
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• On elements of the Lax–Phillips scattering scheme for $\mathcal {PT}$-symmetric operators
• One-dimensional Schrödinger operators with -symmetric zero-range potentials
• Reflectionless potentials and symmetry

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