dorsal/arxiv
View SchemaOn the exact solutions of the Lipkin-Meshkov-Glick model
| Authors | N. Debergh, Fl. Stancu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106163 |
| URL | https://arxiv.org/abs/quant-ph/0106163 |
| DOI | 10.1088/0305-4470/34/15/305 |
| Journal | J.Phys.A34:3265-3276,2001 |
Abstract
We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick in the context of deformed polynomial algebras and show that its exact solutions can be easily and naturally obtained within this formalism. The Hamiltonian matrix of each $j$ multiplet can be split into two submatrices associated to two distinct irreps of the deformed algebra. Their invariant subspaces correspond to even and odd numbers of particle-hole excitations.
{
"annotation_id": "34a41344-27a8-449a-95da-e8704c88b98c",
"date_created": "2026-03-02T18:01:45.338000Z",
"date_modified": "2026-03-02T18:01:45.338000Z",
"file_hash": "9bfb027206f7ebed2e4050b2c148c4dfffc64288efd88638a22612cfc436ed2c",
"private": false,
"record": {
"abstract": "We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick\nin the context of deformed polynomial algebras and show that its exact\nsolutions can be easily and naturally obtained within this formalism. The\nHamiltonian matrix of each $j$ multiplet can be split into two submatrices\nassociated to two distinct irreps of the deformed algebra. Their invariant\nsubspaces correspond to even and odd numbers of particle-hole excitations.",
"arxiv_id": "quant-ph/0106163",
"authors": [
"N. Debergh",
"Fl. Stancu"
],
"categories": [
"quant-ph",
"nucl-th"
],
"doi": "10.1088/0305-4470/34/15/305",
"journal_ref": "J.Phys.A34:3265-3276,2001",
"title": "On the exact solutions of the Lipkin-Meshkov-Glick model",
"url": "https://arxiv.org/abs/quant-ph/0106163"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "894f73e6-9960-49c3-919f-a16b80ba577a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}