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Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation

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  • Elena Kopylova
  • Gerald Teschl

Abstract

We derive dispersion estimates for solutions of a one‐dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning scattering for the corresponding perturbed Dirac operators which are of independent interest. Most notably, we show that the reflection and transmission coefficients belong to the Wiener algebra.

Suggested Citation

  • Elena Kopylova & Gerald Teschl, 2022. "Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation," Mathematische Nachrichten, Wiley Blackwell, vol. 295(4), pages 762-784, April.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:4:p:762-784
    DOI: 10.1002/mana.202000033
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