{
  "annotation_id": "5547ac55-b9aa-418a-9109-02809119cb24",
  "date_created": "2026-03-02T18:02:16.491000Z",
  "date_modified": "2026-03-02T18:02:16.491000Z",
  "file_hash": "fd264a2bd58081b729d34b424b0236993d7308aa3ac68a70d06b8b4991778e4e",
  "private": false,
  "record": {
    "abstract": "We study the quantization of a classical system of interacting particles\nobeying a recently proposed kinetic interaction principle (KIP) [G. Kaniadakis,\nPhysica A {\\bf 296}, 405 (2001)]. The KIP fixes the expression of the\nFokker-Planck equation describing the kinetic evolution of the system and\nimposes the form of its entropy. In the framework of canonical quantization, we\nintroduce a class of nonlinear Schr\\\"odinger equations (NSEs) with complex\nnonlinearities, describing, in the mean field approximation, a system of\ncollectively interacting particles whose underlying kinetics is governed by the\nKIP. We derive the Ehrenfest relations and discuss the main constants of motion\narising in this model. By means of a nonlinear gauge transformation of third\nkind it is shown that in the case of constant diffusion and linear drift the\nclass of NSEs obeying the KIP is gauge-equivalent to another class of NSEs\ncontaining purely real nonlinearities depending only on the field\n$\\rho=|\\psi|^2$.",
    "arxiv_id": "quant-ph/0506104",
    "authors": [
      "A. M. Scarfone"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevE.71.051103",
    "journal_ref": "Phys. Rev. E 71, 051103 (2005)",
    "title": "Canonical quantization of nonlinear many body systems",
    "url": "https://arxiv.org/abs/quant-ph/0506104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cf98e7cb-636e-41e8-bd4f-04ae46eb9b57",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}