dorsal/arxiv
View SchemaElectron wave functions on $T^2$ in a static magnetic field of arbitrary direction
| Authors | M. Encinosa |
|---|---|
| Categories | |
| ArXiv ID | physics/0502060 |
| URL | https://arxiv.org/abs/physics/0502060 |
| DOI | 10.1016/j.physe.2005.03.009 |
Abstract
A basis set expansion is performed to find the eigenvalues and wave functions for an electron on a toroidal surface $T^2$ subject to a constant magnetic field in an arbitrary direction. The evolution of several low-lying states as a function of field strength and field orientation is reported, and a procedure to extend the results to include two-body Coulomb matrix elements on $T^2$ is presented.
{
"annotation_id": "44d3c89e-0331-4719-9a83-d16e41320e5e",
"date_created": "2026-03-02T18:00:57.094000Z",
"date_modified": "2026-03-02T18:00:57.094000Z",
"file_hash": "ab7cbbb831750947c54c314486d5b9e4b2362120b9e85764952827fc6b832d42",
"private": false,
"record": {
"abstract": "A basis set expansion is performed to find the eigenvalues and wave functions\nfor an electron on a toroidal surface $T^2$ subject to a constant magnetic\nfield in an arbitrary direction. The evolution of several low-lying states as a\nfunction of field strength and field orientation is reported, and a procedure\nto extend the results to include two-body Coulomb matrix elements on $T^2$ is\npresented.",
"arxiv_id": "physics/0502060",
"authors": [
"M. Encinosa"
],
"categories": [
"physics.comp-ph",
"physics.gen-ph"
],
"doi": "10.1016/j.physe.2005.03.009",
"title": "Electron wave functions on $T^2$ in a static magnetic field of arbitrary direction",
"url": "https://arxiv.org/abs/physics/0502060"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e3282047-01f7-40de-867c-0af6df842378",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}