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Exact canonically conjugate momenta Pi_{2mu} in quadrupole nuclear collectivemotions are proposed. The basic idea lies in the introduction of a discreteintegral equation for the strict definition of canonically conjugate momenta tocollective variables phi_{2mu}. A part of our collective Hamiltonian, thePi_{2mu}-dependence of the kinetic part of the Hamiltonian, is given exactly.Further, phi_{2mu}-dependence of the kinetic part of the Hamiltonian is alsogiven.

Exact Canonically Conjugate Momenta to Quadrupole-Type Collective Coordinates and Derivation of Nuclear Quadrupole-Type Collective Hamiltonian