2003/11/27 by Dennis Bonatsos, B. A. Kotsos, P. P. Raychev +1
Physics and Astronomy · #quant-ph
published as Int. J. Quant. Chem. 95 (2003) 1 · 27 pages, LaTeX
arxiv created 2003/11/27 · arxiv updated 2009/12/01
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.