A remark on the limiting absorption method for Dirac operators

DOI10.3792/pjaa.69.243zbMath0831.35149OpenAlexW2035558971MaRDI QIDQ1318923

Osanobu Yamada

Publication date: 12 April 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.243

zbMATH Keywords

resolvent of the Dirac operator

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

High-energy behavior of the scattering amplitude for a Dirac operator ⋮ Continuum limits for discrete Dirac operators on 2D square lattices ⋮ Dispersive estimates for massive Dirac operators in dimension two ⋮ Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions ⋮ Spectral theory of first-order systems: From crystals to Dirac operators ⋮ The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ Stable directions for small nonlinear Dirac standing waves ⋮ On the one dimensional Dirac equation with potential ⋮ Unnamed Item ⋮ The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates

Cites Work

• Unnamed Item
• Some properties of the scattering amplitude and the inverse scattering problem
• Global estimates for the Schrödinger equation
• The principle of limiting absorption for the non-selfadjoint Schrödinger operator in R\(^2\)
• Eigenfunction expansions and scattering theory for Dirac operators
• The principle of limiting absorption for the non-selfadjoint Schrödinger operator in R\(^N\) \((N \neq 2)\)
• On the principle of limiting absorption for the Dirac operator

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