{
  "annotation_id": "389ad947-c518-4b2c-821b-5adba9529f1c",
  "date_created": "2026-03-02T18:02:12.643000Z",
  "date_modified": "2026-03-02T18:02:12.643000Z",
  "file_hash": "12cc08ca886095e8f9ea97cb7863f970fa1d2caab9780fadb90f36b9b942f448",
  "private": false,
  "record": {
    "abstract": "We develop a formalism to study the use of Level Set Method (LSM) in the\ninvestigation of evolution of observables in terms of parameters of the\nHamiltonian, both of the system itself and the control part. A simple example\nwith an analytic solution available perturbatively is examined. We show that B\nsplines can quite accurately and smoothly interpolate surfaces corresponding to\nconstant expectation value of observables which form the level sets as\nprojections on a finite mesh of data. Lastly we make a brief priliminary\nscrutiny of teh possibility of using temperature as a relevant parameter in\nensembles of quantum systems.",
    "arxiv_id": "quant-ph/0411155",
    "authors": [
      "Fariel Shafee"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Evolution of Level Sets in Hamilton Parameter Space",
    "url": "https://arxiv.org/abs/quant-ph/0411155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8db283d2-f6ca-45e5-a833-d582dca9cfda",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}