Reflectionless potentials and point interactions in Pontryagin spaces

DOI10.1007/s11005-005-0002-1zbMath1094.81053OpenAlexW2158402090MaRDI QIDQ812965

Annemarie Luger, Pavel Kurasov

Publication date: 30 January 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-005-0002-1

zbMATH Keywords

inverse scatteringPontryagin spacegeneralized Nevanlinna function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse scattering problems in quantum theory (81U40) Inverse problems involving ordinary differential equations (34A55) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Group-theoretical approach to reflectionless potentials ⋮ On a Model of Spontaneous Symmetry Breaking in Quantum Mechanics

Cites Work

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• Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions
• Zero-range potentials with internal structures and the inverse scattering problem
• Scattering matrices with finite phase shift and the inverse scattering problem
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

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