dorsal/arxiv
View SchemaMolecular Spectra from Rotationally Invariant Hamiltonians Based on the Quantum Algebra SUq(2) and Irreducible Tensor Operators under SUq(2)
| Authors | Dennis Bonatsos, B. A. Kotsos, P. P. Raychev, P. A. Terziev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311190 |
| URL | https://arxiv.org/abs/quant-ph/0311190 |
| Journal | Int. J. Quant. Chem. 95 (2003) 1 |
Abstract
The rotational invariance under the usual physical angular momentum of the SUq(2) Hamiltonian for the description of rotational molecular spectra is explicitly proved and a connection of this Hamiltonian to the formalism of Amal'sky is provided. In addition, a new Hamiltonian for rotational spectra is introduced, based on the construction of irreducible tensor operators (ITOs) under SUq(2) and use of q-deformed tensor products and q-deformed Clebsch-Gordan coefficients. The rotational invariance of this SUq(2) ITO Hamiltonian under the usual physical angular momentum is explicitly proved and a simple closed expression for its energy spectrum (the ``hyperbolic tangent formula'') is introduced. Numerical tests against an experimental rotational band of HF are provided.
{
"annotation_id": "47c6c0a7-e682-4559-8da5-c89d10158bc4",
"date_created": "2026-03-02T18:02:03.237000Z",
"date_modified": "2026-03-02T18:02:03.237000Z",
"file_hash": "83d7b5df2557e095d6047f2a75d3aa0e9e4e86945042a7d64755d21b52962e3f",
"private": false,
"record": {
"abstract": "The rotational invariance under the usual physical angular momentum of the\nSUq(2) Hamiltonian for the description of rotational molecular spectra is\nexplicitly proved and a connection of this Hamiltonian to the formalism of\nAmal\u0027sky is provided. In addition, a new Hamiltonian for rotational spectra is\nintroduced, based on the construction of irreducible tensor operators (ITOs)\nunder SUq(2) and use of q-deformed tensor products and q-deformed\nClebsch-Gordan coefficients. The rotational invariance of this SUq(2) ITO\nHamiltonian under the usual physical angular momentum is explicitly proved and\na simple closed expression for its energy spectrum (the ``hyperbolic tangent\nformula\u0027\u0027) is introduced. Numerical tests against an experimental rotational\nband of HF are provided.",
"arxiv_id": "quant-ph/0311190",
"authors": [
"Dennis Bonatsos",
"B. A. Kotsos",
"P. P. Raychev",
"P. A. Terziev"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Quant. Chem. 95 (2003) 1",
"title": "Molecular Spectra from Rotationally Invariant Hamiltonians Based on the Quantum Algebra SUq(2) and Irreducible Tensor Operators under SUq(2)",
"url": "https://arxiv.org/abs/quant-ph/0311190"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9be8ed7f-93fe-4077-b91e-9ca948011830",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}