Two-dimensional relativistic hydrogenic atoms: A complete set of constants of motion
| dc.creator | Poszwa, A. | |
| dc.creator | Rutkowski, A. | |
| dc.date | 2008-09-11 | |
| dc.date.accessioned | 2026-07-07T10:02:13Z | |
| dc.date.available | 2026-07-07T10:02:13Z | |
| dc.description | The complete set of operators commuting with the Dirac Hamiltonian and exact analytic solution of the Dirac equation for the two-dimensional Coulomb potential is presented. Beyond the eigenvalue $μ$ of the operator $j_{z}$, two quantum numbers $η$ and $κ$ are introduced as eigenvalues of hermitian operators $P=βσ_{z}'$ and $K=β(σ_{z}'l_{z}+1/2)$, respectively. The classification of states according to the full set of constants of motion without referring to the non-relativistic limit is proposed. The linear Paschen-Back effect is analyzed using exact field-free wave-functions as a zero-order approximation. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1929 | |
| dc.identifier | http://arxiv.org/abs/0809.1929 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168893 | |
| dc.subject | Quantum Physics | |
| dc.title | Two-dimensional relativistic hydrogenic atoms: A complete set of constants of motion | |
| dc.type | text |