{
  "annotation_id": "7cbe05f8-569b-4117-91da-1752c7a43eef",
  "date_created": "2026-03-02T18:01:49.516000Z",
  "date_modified": "2026-03-02T18:01:49.516000Z",
  "file_hash": "2b6958b04aa439c6c053d13866c83072744640bd0a4a9ffd82016cbd6eb930ad",
  "private": false,
  "record": {
    "abstract": "A systematic perturbation scheme is developed for approximate solutions to\nthe time-dependent Schroedinger equation with a space-adiabatic Hamiltonian.\nFor a particular isolated energy band, the basic approach is to separate\nkinematics from dynamics. The kinematics is defined through a subspace of the\nfull Hilbert space for which transitions to other band subspaces are suppressed\nto all orders and the dynamics operates in that subspace in terms of an\neffective intraband Hamiltonian. As novel applications we discuss the\nBorn-Oppenheimer theory to second order and derive the nonperturbative\ndefinition of the g-factor of the electron within nonrelativistic quantum\nelectrodynamics.",
    "arxiv_id": "quant-ph/0201123",
    "authors": [
      "Gianluca Panati",
      "Herbert Spohn",
      "Stefan Teufel"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Space-adiabatic Decoupling to All Orders",
    "url": "https://arxiv.org/abs/quant-ph/0201123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "278ccbc4-914d-410a-9eb0-97dc8441f58d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}