dorsal/arxiv
View SchemaAdiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method
| Authors | Stefan Giller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207107 |
| URL | https://arxiv.org/abs/quant-ph/0207107 |
Abstract
A method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of Stokes graphs corresponding to such transitions. It has been shown that for simplest such cases the amplitudes take the Nikitin - Umanskii form but for more complicated ones they are formed by a sum of terms strictly related to a structure of Stokes graph corresponding to such cases. This paper corrects our previous one [Phys. Rev. A, 63 052101 (2001)] and its results are in a full agreement with the ones of Joye, Mileti and Pfister [Phys. Rev. A, 44 4280 (1991)].
{
"annotation_id": "4777ff35-eb69-48a1-a059-6fce9e09f221",
"date_created": "2026-03-02T18:01:52.302000Z",
"date_modified": "2026-03-02T18:01:52.302000Z",
"file_hash": "8f560476e5f446d6b0f06f138845608d09743f7bd614885472b17742e6e98cfb",
"private": false,
"record": {
"abstract": "A method of fundamental solutions has been used to study adiabatic transition\namplitudes in two energy level systems for a class of Hamiltonians allowing\nsome simplifications of Stokes graphs corresponding to such transitions. It has\nbeen shown that for simplest such cases the amplitudes take the Nikitin -\nUmanskii form but for more complicated ones they are formed by a sum of terms\nstrictly related to a structure of Stokes graph corresponding to such cases.\nThis paper corrects our previous one [Phys. Rev. A, 63 052101 (2001)] and its\nresults are in a full agreement with the ones of Joye, Mileti and Pfister\n[Phys. Rev. A, 44 4280 (1991)].",
"arxiv_id": "quant-ph/0207107",
"authors": [
"Stefan Giller"
],
"categories": [
"quant-ph"
],
"title": "Adiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method",
"url": "https://arxiv.org/abs/quant-ph/0207107"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ec9d557e-f6c2-4e48-83be-7c774cbfdfb2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}