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Spectral Properties in the Low- Energy Limit of One -Dimensional Schrödinger OperatorsH = -d2/dx2 +V. The Case 〈1,V1〉 ≠ 0

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Publication:4539463
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DOI<113::AID-MANA113>3.0.CO;2-D 10.1002/1522-2616(200205)238:1<113::AID-MANA113>3.0.CO;2-DzbMath1041.34081OpenAlexW2020821564MaRDI QIDQ4539463

Michael Melgaard

Publication date: 8 July 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200205)238:1<113::aid-mana113>3.0.co;2-d


zbMATH Keywords

one-dimensional Schrödinger operatorlow-energy limitzero-energy resonance


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)


Related Items

Levinson's theorem as an index pairing ⋮ Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field ⋮ Threshold properties of matrix-valued Schrödinger operators. II: Resonances ⋮ Threshold properties of matrix-valued Schrödinger operators



Cites Work

  • Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation
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