A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914630971949056 |
|---|---|
| author | Bambusi, Dario |
| author_facet | Bambusi, Dario |
| contents | We prove a $C^\infty$ global version of Nekhoroshev theorem for time dependent Hamiltonians in $R^d\times T^d$. Precisely, we prove a result showing that for all times the actions of the unperturbed systems are bounded by a constant times $ \langle t\rangle^ε$. We apply the result to the dynamics of a charged particle in $T^d$ subject to a time dependent electromagnetic field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02822 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian Bambusi, Dario Mathematical Physics Dynamical Systems 37J40, 70K70, 37J65 We prove a $C^\infty$ global version of Nekhoroshev theorem for time dependent Hamiltonians in $R^d\times T^d$. Precisely, we prove a result showing that for all times the actions of the unperturbed systems are bounded by a constant times $ \langle t\rangle^ε$. We apply the result to the dynamics of a charged particle in $T^d$ subject to a time dependent electromagnetic field. |
| title | A global Nekhoroshev theorem for particles on the torus with time dependent Hamiltonian |
| topic | Mathematical Physics Dynamical Systems 37J40, 70K70, 37J65 |
| url | https://arxiv.org/abs/2401.02822 |