Brummelhuis, Raymond and Briet, P. and Duclos, P. (2009) Adiabatic spectrum for relativistic hydrogen in a strong homogeneous magnetic field. Few-Body Systems 45 (2-4), pp. 179-182. ISSN 0177-7963.
![[img]](https://eprints.bbk.ac.uk/style/images/fileicons/text.png) |
Text
paper Erice-proc.pdf - Published Version of Record Restricted to Repository staff only Download (167kB) | Request a copy |
Abstract
We study the bound states of relativistic hydrogen-like atoms coupled to strong homogeneous magnetic fields, assuming a fixed, infinitely heavy nucleus. Working in the adiabatic approximation in which the electron is confined to the lowest Landau level, we show that the corresponding Dirac Hamiltonian always has an infinite discrete spectrum accumulating at mc 2, m being the electron mass, and that, as the field strength increases, its eigenvalues successively descend into the lower part of the continuous spectrum, (−∞, −mc 2]. This phenomenon is for large B roughly periodical in log B.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School |
| Depositing User: | Raymond Brummelhuis |
| Date Deposited: | 28 May 2013 12:21 |
| Last Modified: | 02 Aug 2023 17:04 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/6989 |
Statistics
Additional statistics are available via IRStats2.
Archive Staff Only (login required)
