Exact canonically conjugate momenta to quadrupole-type collective coordinates and derivation of nuclear quadrupole-type collective Hamiltonian

Exact canonically conjugate momenta Π2μΠ2μ in quadrupole nuclear collective motions are proposed. The basic idea lies in the introduction of a discrete integral equation for the strict definition of canonically conjugate momenta to collective variables ϕ2μϕ2μ. A part of our collective Hamiltonian, the Π2μΠ2μ-dependence of the kinetic part of the Hamiltonian, is given exactly. Further, ϕ2μϕ2μ-dependence of the kinetic part of the Hamiltonian is also given.