Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2412.11928 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914316461015040 |
|---|---|
| author | Vacelet, Éric |
| author_facet | Vacelet, Éric |
| contents | We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a non-compact, smooth, and connected curve without boundary. The dynamics are governed by an adiabatic modulation of a Dirac operator with a smooth, effective variable mass. We determine the evolution of the semiclassical measure of the solution using a two-scale Wigner measure method, after reducing the Hamiltonian to a normal form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Propagation of Semiclassical Measures Between Two Topological Insulators Vacelet, Éric Analysis of PDEs Mathematical Physics 35B40, 35F05, 35Q40 We study propagation in a system consisting of two topological insulators without a magnetic field, whose interface is a non-compact, smooth, and connected curve without boundary. The dynamics are governed by an adiabatic modulation of a Dirac operator with a smooth, effective variable mass. We determine the evolution of the semiclassical measure of the solution using a two-scale Wigner measure method, after reducing the Hamiltonian to a normal form. |
| title | Propagation of Semiclassical Measures Between Two Topological Insulators |
| topic | Analysis of PDEs Mathematical Physics 35B40, 35F05, 35Q40 |
| url | https://arxiv.org/abs/2412.11928 |