  A new method for elimination of the 'spurious' states comprising reguirement
of translational invariance and simplicity of the enumeration scheme of
antisymmetric A-particle states has been developed. The method presented
enables one to project off the space of purely spurious antisymmetric
A-particle oscillator functions with singled out dependence on intrinsic
coordinates of two last particles onto the subspace of the nonspurious motion.
The method is based on constructing the matrix elements of the centre-ofmass
Hamiltonian and spectral decomposition of the corresponding real symmetric
matrix. The obtained coefficients of the expansion of the antisymmetric
A-particle oscillator functions in terms of the ones with singled out
dependence on intrinsic coordinates of two last particles and with eliminated
spurious states are required for calculation of two-particle oscillator
intrinsic density matrices. Software tools based on root rational fraction
expression of numbers for the theoretical formulation presented have been
developed.
