Traveling waves and effective mass for the regularized Landau-Pekar equations
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866907784151302144 |
|---|---|
| author | Rademacher, Simone |
| author_facet | Rademacher, Simone |
| contents | We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity expansion of subsonic traveling waves. Moreover we show that this definition of the effective mass agrees with the definition based on an energy-momentum expansion of low energy states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_08198 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Traveling waves and effective mass for the regularized Landau-Pekar equations Rademacher, Simone Mathematical Physics Analysis of PDEs We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity expansion of subsonic traveling waves. Moreover we show that this definition of the effective mass agrees with the definition based on an energy-momentum expansion of low energy states. |
| title | Traveling waves and effective mass for the regularized Landau-Pekar equations |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2211.08198 |