{
  "id": "1609.08383",
  "version": "v1",
  "published": "2016-09-27T12:44:48.000Z",
  "updated": "2016-09-27T12:44:48.000Z",
  "title": "Quantization of the 1-D harmonic oscillator with variable mass using the operators $\\hat v$ and $\\hat p$",
  "authors": [
    "Gustavo V. López",
    "Eric M. Reynaga"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "quant-ph"
  ],
  "abstract": "For the 1-D harmonic oscillator with position depending variable mass, a Hamiltonian and constant of motion are given through a consistent approach. Then, the quantization of this system is carried out using the operator $\\hat p$, for the Hamiltonian, and the operator $\\hat v$ for the constant of motion. We find that the result of both quantizations brings about different quantum dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-27T12:44:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic oscillator",
      "variable mass",
      "hamiltonian",
      "consistent approach",
      "quantum dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}