On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
| dc.creator | Balinsky, A. A. | |
| dc.creator | Evans, W. D. | |
| dc.date | 1998-02-06 | |
| dc.date.accessioned | 2026-07-07T05:23:47Z | |
| dc.date.available | 2026-07-07T05:23:47Z | |
| dc.description | A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for relativistic one-electron atoms. As a consequence, it is proved that the operator has no eigenvalues greater than $\max(m c^2, 2 αZ - \frac{1}{2})$, where $α$ is the fine structure constant, for all values of the nuclear charge $Z$ below the critical value $Z_c$: in particular there are no eigenvalues embedded in the essential spectrum when $Z \leq 3/4 α$. Implications for the operators in the partial wave decomposition are also described. | |
| dc.description | To appear in Letters in Math. Physics | |
| dc.identifier | https://arxiv.org/abs/math/9802035 | |
| dc.identifier | http://arxiv.org/abs/math/9802035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76582 | |
| dc.subject | Spectral Theory | |
| dc.subject | Primary: 47G, 81Q10; Secondary: 47N50 | |
| dc.title | On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues | |
| dc.type | text |