{
  "annotation_id": "8f570b0c-da5d-443e-8c22-8464634e02e0",
  "date_created": "2026-03-02T18:02:13.284000Z",
  "date_modified": "2026-03-02T18:02:13.284000Z",
  "file_hash": "92b4157476f29649bb6729fae44b77c886a274920ad8cd7544ed31ce021a3a8e",
  "private": false,
  "record": {
    "abstract": "The reflection and transmission of wave functions at a potential step is a\nwell-known issue in a textbook of quantum mechanics. We studied the reflection\nand transmission characteristics analytically when the potential step is moving\nat a constant velocity $v$ in the same direction as an incident wave function\nby means of solving the time-dependent Schr\\\"{o}dinger equation. As for an\ninfinite potential step, it is known that group velocity is the same as the\nmoving velocity of the potential step. We found two interesting results when\nthe potential step has a finite height of $V_0$. The transmission occurs when\nthe kinetic energy of incident wave function is larger than the effective\npotential hight of $(\\sqrt{\\frac{m}{2}}v + \\sqrt{V_0})^2$. The other result is\nthat the reflectivity depends on $x$, which derives from the interference\nbetween the incident and the reflected wave functions.",
    "arxiv_id": "quant-ph/0411113",
    "authors": [
      "Toshiharu Samura",
      "Masato Ohmukai"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Analyses of reflection and transmission at moving potential step",
    "url": "https://arxiv.org/abs/quant-ph/0411113"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d4c94b59-78a0-49ff-b5a5-f1c2a7d05e4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}