Abstract
The ladder operators for the Goldman and Krivchenkov anharmonic poten- tialhavebeenderivedwithinthealgebraicapproach.Themethodisextendedtoinclude the rotating oscillator. The coherent states for the Goldman and Krivchenkov oscilla- tor, which are the eigenstates of the annihilation operator and minimize the general- izedposition-momentumuncertaintyrelation,areconstructedwithintheframeworkof supersymmetric quantum mechanics. The constructed ladder operators can bea useful tool in quantum chemistry computations of non-trivial matrix elements. In particular, they can be employed in molecular vibrational-rotational spectroscopy of diatomic molecules to compute transition energies and dipole matrix elements.
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