{
  "annotation_id": "ce6bc9c2-4954-47ad-b895-e8f0b35c5501",
  "date_created": "2026-03-02T18:01:48.934000Z",
  "date_modified": "2026-03-02T18:01:48.934000Z",
  "file_hash": "d5c7c38b179410c47ca32e5bfe7550dc7137e6738ecedd690e6604cb23b1c5ec",
  "private": false,
  "record": {
    "abstract": "We study the influence of the different choice of unit cells on the Bloch\nsolutions of Schr\\c{c}dinger equation for one-dimensional periodic Kronig-\nPenney models with rectangular potential barriers or potential wells and\npartially constant effectiv mass. We obtain generalized Kronig-Penney relations\nfor bulk states and exact expressions for the corresponding periodic parts of\nthe Bloch wave functions for the two possible choices of the matching\nconditions in an unit cell. We show also that our analitic expressions reduce\nto the well known expressions for the Kronig-Penney relations and Bloch waves\nunder constant effective mass and appropriate matching conditions.",
    "arxiv_id": "quant-ph/0204053",
    "authors": [
      "M. G. Tashkova",
      "A. M. Miteva",
      "S. G. Donev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the Influence of the Unit Cell Type on the Wave Function in   One-Dimensional Kronig-Penney Models",
    "url": "https://arxiv.org/abs/quant-ph/0204053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea9bdc3d-b4ef-4bd1-85a6-6deab5f9bc75",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}