Exact Canonically Conjugate Momenta to Quadrupole-Type Collective Coordinates and Derivation of Nuclear Quadrupole-Type Collective Hamiltonian
Abstract
Exact canonically conjugate momenta Pi2mu 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 phi2mu. A part of our collective Hamiltonian, the Pi2mu-dependence of the kinetic part of the Hamiltonian, is given exactly. Further, phi2mu-dependence of the kinetic part of the Hamiltonian is also given.
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