{
  "annotation_id": "ab7fc272-3c6d-40db-a46f-0c2ad77af8ac",
  "date_created": "2026-03-02T18:02:23.788000Z",
  "date_modified": "2026-03-02T18:02:23.788000Z",
  "file_hash": "54ae71a279a714f15d968a4a4fffbc321f764a4eae221844bc2c065f51ae2fe7",
  "private": false,
  "record": {
    "abstract": "The properties of the s-wave for a quasi-free particle with\nposition-dependent mass(PDM) have been discussed in details. Differed from the\nsystem with constant mass in which the localization of the s-wave for the free\nquantum particle around the origin only occurs in two dimensions, the\nquasi-free particle with PDM can experience attractive forces in $D$ dimensions\nexcept D=1 when its mass function satisfies some conditions. The effective mass\nof a particle varying with its position can induce effective interaction which\nmay be attractive in some cases. The analytical expressions of the\neigenfunctions and the corresponding probability densities for the s-waves of\nthe two- and three-dimensional systems with a special PDM are given, and the\nexistences of localization around the origin for these systems are shown.",
    "arxiv_id": "quant-ph/0601005",
    "authors": [
      "Guo-Xing JU",
      "Yang Xiang",
      "Zhong-Zhou Ren"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0253-6102/46/5/010",
    "title": "The Localization of $s$-Wave and Quantum Effective Potential of a   Quasi-Free Particle with Position-Dependent Mass",
    "url": "https://arxiv.org/abs/quant-ph/0601005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea239d82-8303-40ae-a21c-56cf0948d319",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}