dorsal/arxiv
View SchemaElectron propagation in crossed magnetic and electric fields
| Authors | Tobias Kramer, Christian Bracher, Manfred Kleber |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307228 |
| URL | https://arxiv.org/abs/quant-ph/0307228 |
| DOI | 10.1088/1464-4266/6/1/004 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 6 (2004), 21-27 |
Abstract
Laser-atom interaction can be an efficient mechanism for the production of coherent electrons. We analyze the dynamics of monoenergetic electrons in the presence of uniform, perpendicular magnetic and electric fields. The Green function technique is used to derive analytic results for the field--induced quantum mechanical drift motion of i) single electrons and ii) a dilute Fermi gas of electrons. The method yields the drift current and, at the same time it allows us to quantitatively establish the broadening of the (magnetic) Landau levels due to the electric field: Level number k is split into k+1 sublevels that render the $k$th oscillator eigenstate in energy space. Adjacent Landau levels will overlap if the electric field exceeds a critical strength. Our observations are relevant for quantum Hall configurations whenever electric field effects should be taken into account.
{
"annotation_id": "e1f7c515-2708-456c-baec-6bffedb3960a",
"date_created": "2026-03-02T18:02:00.268000Z",
"date_modified": "2026-03-02T18:02:00.268000Z",
"file_hash": "fb9aaa1bfa060f789ac359b2b477de0bd34d5427a569d95296f23edbc14b6961",
"private": false,
"record": {
"abstract": "Laser-atom interaction can be an efficient mechanism for the production of\ncoherent electrons. We analyze the dynamics of monoenergetic electrons in the\npresence of uniform, perpendicular magnetic and electric fields. The Green\nfunction technique is used to derive analytic results for the field--induced\nquantum mechanical drift motion of i) single electrons and ii) a dilute Fermi\ngas of electrons. The method yields the drift current and, at the same time it\nallows us to quantitatively establish the broadening of the (magnetic) Landau\nlevels due to the electric field: Level number k is split into k+1 sublevels\nthat render the $k$th oscillator eigenstate in energy space. Adjacent Landau\nlevels will overlap if the electric field exceeds a critical strength. Our\nobservations are relevant for quantum Hall configurations whenever electric\nfield effects should be taken into account.",
"arxiv_id": "quant-ph/0307228",
"authors": [
"Tobias Kramer",
"Christian Bracher",
"Manfred Kleber"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/6/1/004",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 6 (2004), 21-27",
"title": "Electron propagation in crossed magnetic and electric fields",
"url": "https://arxiv.org/abs/quant-ph/0307228"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4184ecca-b947-45b1-83eb-feda0929ac46",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}