Classical limit of the Pauli-Fierz dynamics
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913079777820672 |
|---|---|
| author | Jougla, Lucas Leopold, Nikolai |
| author_facet | Jougla, Lucas Leopold, Nikolai |
| contents | We study the Schrödinger evolution generated by the Pauli-Fierz Hamiltonian, a model for nonrelativistic quantum electrodynamics, in the classical limit $\hbar \rightarrow 0$. In this regime, we rigorously derive the Newton-Maxwell equations of classical electrodynamics as effective dynamics approximating the time evolution. Our result complements prior work by an alternative derivation that provides explicit estimates on the rate of convergence, justifying the validity of the approximation for a special class of initial data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00228 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classical limit of the Pauli-Fierz dynamics Jougla, Lucas Leopold, Nikolai Mathematical Physics Analysis of PDEs We study the Schrödinger evolution generated by the Pauli-Fierz Hamiltonian, a model for nonrelativistic quantum electrodynamics, in the classical limit $\hbar \rightarrow 0$. In this regime, we rigorously derive the Newton-Maxwell equations of classical electrodynamics as effective dynamics approximating the time evolution. Our result complements prior work by an alternative derivation that provides explicit estimates on the rate of convergence, justifying the validity of the approximation for a special class of initial data. |
| title | Classical limit of the Pauli-Fierz dynamics |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2605.00228 |