Resolvent expansions for the Schrödinger operator on the discrete half-line

DOI10.1063/1.4982957zbMath1368.81068arXiv1612.01329OpenAlexW2560296657MaRDI QIDQ5738687

Arne Jensen, Kenichi Ito

Publication date: 12 June 2017

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

Full work available at URL: https://arxiv.org/abs/1612.01329

zbMATH Keywords

Laplacianthresholddiscrete Schrödinger operatorresolvent expansion

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05)

Related Items (1)

Resolvent expansion for the Schrödinger operator on a graph with infinite rays

Cites Work

• Memory effects in non-interacting mesoscopic transport
• Half-line Schrödinger operators with no bound states
• On the spectral properties of discrete Schrödinger operators
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

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