Physics – Quantum Physics
Scientific paper
2003-11-27
Int. J. Quant. Chem. 95 (2003) 1
Physics
Quantum Physics
27 pages, LaTeX
Scientific paper
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.
Bonatsos Dennis
Kotsos B. A.
Raychev P. P.
Terziev P. A.
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