Lowest energy states in nonrelativistic QED: atoms and ions in motion
| dc.creator | Loss, Michael | |
| dc.creator | Miyao, Tadahiro | |
| dc.creator | Spohn, Herbert | |
| dc.date | 2006-05-02 | |
| dc.date.accessioned | 2026-07-07T07:13:42Z | |
| dc.date.available | 2026-07-07T07:13:42Z | |
| dc.description | Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and $N$ electrons coupled to the radiation field. Since the total momentum $P$ is conserved, the Hamiltonian $H$ admits a fiber decomposition with respect to $P$ with fiber Hamiltonian $H(P)$. A stable atom, resp. ion, means that the fiber Hamiltonian $H(P)$ has an eigenvalue at the bottom of its spectrum. We establish the existence of a ground state for $H(P)$ under (i) an explicit bound on $P$, (ii) a binding condition, and (iii) an energy inequality. The binding condition is proven to hold for a heavy nucleus and the energy inequality for spinless electrons. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0605005 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0605005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112568 | |
| dc.subject | Mathematical Physics | |
| dc.title | Lowest energy states in nonrelativistic QED: atoms and ions in motion | |
| dc.type | text |