Center of the charged particle orbit for any linear gauge
| dc.creator | Florek, Wojciech | |
| dc.date | 1998-01-10 | |
| dc.date | 2002-12-17 | |
| dc.date.accessioned | 2026-07-07T06:36:31Z | |
| dc.date.available | 2026-07-07T06:36:31Z | |
| dc.description | In the case of a constant uniform magnetic field it can be assumed, without the loss of generality, that the vector potential (the gauge) is a linear function of position, i.e. it could be considered as a three-dimensional real matrix or, more generally in an n-dimensional space, as a tensor A of the rank two. The magnetic tensor H is obtained from A by antisymmetrization, i.e. H=A-A^T. It is shown that the transpose of A plays a special role, since it determines the operator of the orbit center of a charged particle moving in an external magnetic field H. Moreover, this movement can be considered as a combination of N<=n independent cyclotronic movements in orthogonal planes (cyclotron orbits) with quantized energies, whereas in other n-2N dimensions the particle is completely free with a continuous energy spectrum. The proposed approach enables introduction of the four-dimensional space-time and, after some generalizations, non-linear gauges. | |
| dc.description | RevTeX, 5 pages, submitted to Int. J. Mod. Phys. B | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9801017 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9801017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100107 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Center of the charged particle orbit for any linear gauge | |
| dc.type | text |