Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation
| Autor: | Elena Kopylova, Gerald Teschl |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
General Mathematics
Gelfand–Levitan–Marchenko equations FOS: Physical sciences Mathematical Physics (math-ph) discrete Dirac equation Mathematics - Spectral Theory Primary 35Q41 81Q15 Secondary 39A12 39A70 FOS: Mathematics dispersive decay Wiener algebra Spectral Theory (math.SP) Mathematical Physics Jost solutions scattering matrix |
| DOI: | 10.1002/mana.202000033 |
| Popis: | 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. 18 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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