Molecular Spectra from Rotationally Invariant Hamiltonians Based on the Quantum Algebra SUq(2) and Irreducible Tensor Operators under SUq(2)

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dc.creatorBonatsos, Dennis
dc.creatorKotsos, B. A.
dc.creatorRaychev, P. P.
dc.creatorTerziev, P. A.
dc.date2003-11-27
dc.date.accessioned2026-07-07T06:08:27Z
dc.date.available2026-07-07T06:08:27Z
dc.descriptionThe 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.
dc.description27 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/quant-ph/0311190
dc.identifierhttp://arxiv.org/abs/quant-ph/0311190
dc.identifierInt. J. Quant. Chem. 95 (2003) 1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91633
dc.subjectQuantum Physics
dc.titleMolecular Spectra from Rotationally Invariant Hamiltonians Based on the Quantum Algebra SUq(2) and Irreducible Tensor Operators under SUq(2)
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