{
  "annotation_id": "b5f7654f-3358-4818-8625-d67d4a1f2b6e",
  "date_created": "2026-03-02T18:01:48.552000Z",
  "date_modified": "2026-03-02T18:01:48.552000Z",
  "file_hash": "08e68e42dc524a9e08ef93ca50de74a7b6ba05d5bdab47fb18cb8ec5f80c162e",
  "private": false,
  "record": {
    "abstract": "As a powerful tool in scientific computation, Mathematica offers us algebraic\ncomputation, but it does not provide functions to directly calculate\ncommutators in quantum mechanics. Different from present software packets to\ndeal with noncommutative algebra, such as NCAlgebra and NCComAlgebra, one\nsimple method of calculating the commutator in quantum mechanics is put forward\nand is demonstrated by an example calculating SO(4) dynamical symmetry in 3\ndimensions Coulomb potential. This method does not need to develop software\npackets but rather to directly write program in Mathematica. It is based on the\nconnection between commutator in quantum mechanics and Poisson bracket in\nclassical mechanics to perform calculations. Both the length and the running\ntime of this example are very short, which demonstrates that this method is\nsimple and effective in scientific research. Moreover, this method is used to\ncalculate any commutator in Hamilton system in principle. In the end some\ndeficiencies and applications are discussed.",
    "arxiv_id": "quant-ph/0204081",
    "authors": [
      "Hong-Tao Zhang"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "A Simple Method of Calculating Commutators in Hamilton System with   Mathematica Software",
    "url": "https://arxiv.org/abs/quant-ph/0204081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c2d2a4f-ba79-44b6-8881-98c778bdfe62",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}