| Autor: |
Barbaroux, Jean-Marie, Hartig, Michael, Hundertmark, Dirk, Vugalter, Semjon |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Analysis & PDE 15 (2022) 1375-1428 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.2140/apde.2022.15.1375 |
| Popis: |
We consider a multiatomic system where the nuclei are assumed to be point charges at fixed positions. Particles interact via Coulomb potential and electrons have pseudo-relativistic kinetic energy. We prove the van der Waals-London law, which states that the interaction energy between neutral atoms decays as the sixth power of the distance $|D|$ between the atoms. We rigorously compute all the terms in the binding energy up to the order $|D|^{-9}$ with error term of order $\mathcal{O}(|D|^{-10})$ . As intermediate steps we prove exponential decay of eigenfunctions of multiparticle Schr\"odinger operators with permutation symmetry imposed by the Pauli principle and new estimates of the localization error. |
| Databáze: |
arXiv |
| Externí odkaz: |
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