E. Baloitcha et Mn. Hounkonnou, Quantum description of rigidly or adiabatically constrained four-particle systems and supersymmetry, J MATH PHYS, 40(12), 1999, pp. 6133-6144
A general formalism for the quantum description of many-body systems is dev
eloped, using the principal-axis hyperspherical parametrization of coordina
tes. This formalism is applied to four-particle systems for which the exact
kinetic energy operator is derived using a model constraints and dynamical
constraints. Then, using the supersymmetry and shape invariance approach,
we obtained in a closed form the eigenvalues and eigenfunctions of a wide c
lass of noncentral potentials for the adiabatically constrained four-partic
le systems. (C) 1999 American Institute of Physics. [S0022-2488(99)00112-7]
.