Abstract
Abstract The method of hyperspherical harmonics is applied to the calculation of the vibrational energy levels of the three-particle weakly bound van der Waals complexes. (H 2 ) 3− (D 2 ) 3 and Ne 3 . Hyperspherical coordinates and the properties of the associated hyperspherical harmonic functions are discussed. These functions are used as an angular basis in which to expand the wavefunction for the three-particle system. A Born—Oppenheimer-type separation of the angular and hyper-radial motion is made. permitting a lower bound (Born—Oppenheimer approximation) and an upper bound (adiabatic approximation) to the energy of the clusters to be calculated.
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