dorsal/arxiv
View SchemaQuasi-Continuous Symmetries of Non-Lie Type
| Authors | Andrei Ludu, Walter Greiner |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612004 |
| URL | https://arxiv.org/abs/q-alg/9612004 |
| DOI | 10.1007/BF02551437 |
Abstract
We introduce a smooth mapping of some discrete space-time symmetries into quasi-continuous ones. Such transformations are related with q-deformations of the dilations of the Euclidean space and with the non-commutative space. We work out two examples of Hamiltonian invariance under such symmetries. The Schrodinger equation for a free particle is investigated in such a non-commutative plane and a connection with anyonic statistics is found.
{
"annotation_id": "e96042e2-39c1-4c69-a99c-b2e73e886bfe",
"date_created": "2026-03-02T18:01:27.666000Z",
"date_modified": "2026-03-02T18:01:27.666000Z",
"file_hash": "342087cdab930d61b7006ecdef5319637ab6878dd013c9e3f90fa3b6d553dbc6",
"private": false,
"record": {
"abstract": "We introduce a smooth mapping of some discrete space-time symmetries into\nquasi-continuous ones. Such transformations are related with q-deformations of\nthe dilations of the Euclidean space and with the non-commutative space. We\nwork out two examples of Hamiltonian invariance under such symmetries. The\nSchrodinger equation for a free particle is investigated in such a\nnon-commutative plane and a connection with anyonic statistics is found.",
"arxiv_id": "q-alg/9612004",
"authors": [
"Andrei Ludu",
"Walter Greiner"
],
"categories": [
"q-alg",
"hep-th",
"math.QA",
"nucl-th"
],
"doi": "10.1007/BF02551437",
"title": "Quasi-Continuous Symmetries of Non-Lie Type",
"url": "https://arxiv.org/abs/q-alg/9612004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "976c9ac9-a235-43ca-8760-2c9aa7dc4525",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}