Name
Title | ||
|---|---|---|
On The Convergence Of Time Splitting Methods For Quantum Dynamics In The Semiclassical Regime |
Abstract | ||
|---|---|---|
By using the pseudo-metric introduced in Golse and Paul (Arch Ration Mech Anal 223:57-94, 2017), which is an analogue of the Wasserstein distance of exponent 2 between a quantum density operator and a classical (phase-space) density, we prove that the convergence of time splitting algorithms for the von Neumann equation of quantum dynamics is uniform in the Planck constant h. We obtain explicit uniform in h error estimates for the first-order Lie-Trotter, and the second-order Strang splitting methods. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s10208-020-09470-z | FOUNDATIONS OF COMPUTATIONAL MATHEMATICS |
Keywords | DocType | Volume |
Evolutionary equations, Time-dependent Schrodinger equations, Exponential operator splitting methods, Wasserstein distance | Journal | 21 |
Issue | ISSN | Citations |
3 | 1615-3375 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| FrançOis Golse | 1 | 0 | 1.35 |
| Shi Jin | 2 | 572 | 85.54 |
| Thierry Paul | 3 | 0 | 0.34 |