Name
Abstract | ||
|---|---|---|
We study the dynamics of the three-dimensional polaron-a quantum particle coupled to bosonic fields-in the quasi-classical regime. In this case, the fields are very intense and the corresponding degrees of freedom can be treated semiclassically. We prove that in such a regime the effective dynamics for the quantum particles is approximated by the one generated by a time-dependent point interaction, i.e., a singular time-dependent perturbation of the Laplacian supported in a point. As a by-product, we also show that the unitary dynamics of a time-dependent point interaction can be approximated in strong operator topology by the one generated by time-dependent Schrodinger operators with suitably rescaled regular potentials. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1381344 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
semiclassical analysis, zero-range interactions, Schrodinger operators with singular potentials, quantum field models | Journal | 53 |
Issue | ISSN | Citations |
4 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Raffaele Carlone | 1 | 2 | 2.17 |
| Michele Correggi | 2 | 0 | 0.34 |
| Marco Falconi | 3 | 0 | 0.34 |
| Marco Olivieri | 4 | 0 | 0.34 |