Spin-dependent Bohm trajectories for Pauli and Dirac eigenstates of hydrogen
| dc.creator | Colijn, C. | |
| dc.creator | Vrscay, E. R. | |
| dc.date | 2003-04-29 | |
| dc.date.accessioned | 2026-07-07T06:06:40Z | |
| dc.date.available | 2026-07-07T06:06:40Z | |
| dc.description | The de Broglie-Bohm causal theory of quantum mechanics is applied to the hydrogen atom in the fully spin-dependent and relativistic framework of the Dirac equation, and in the nonrelativistic but spin-dependent framework of the Pauli equation. Eigenstates are chosen which are simultaneous eigenstates of the energy H, total angular momentum M, and z component of the total angular momentum M_z. We find the trajectories of the electron, and show that in these eigenstates, motion is circular about the z-axis, with constant angular velocity. We compute the rates of revolution for the ground (n=1) state and the n=2 states, and show that there is agreement in the relevant cases between the Dirac and Pauli results, and with earlier results on the Schrodinger equation. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0304198 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0304198 | |
| dc.identifier | Found. Phys. Lett. Vol. 16, No. 4 pp. 303-323 (2003) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91056 | |
| dc.subject | Quantum Physics | |
| dc.title | Spin-dependent Bohm trajectories for Pauli and Dirac eigenstates of hydrogen | |
| dc.type | text |