Velocity operator approach to quantum fluid dynamics in a three-dimensional neutron-proton system

Abstract

In the preceeding paper, introducing isospin-dependent density operators and defining exact momenta (collective variables), we could get an exact canonically momenta approach to a one-dimensional (1D) neutron-proton (NP) system. In this paper, we attempt at a velocity operator approach to a 3D NP system. Following Sunakawa, after introducing momentum density operators, we define velocity operators, denoting classical fluid velocities. We derive a collective Hamiltonian in terms of the collective variables.

10 pages, no figures, Publication version

References in corpus (2)

• Exact Canonically Conjugate Momenta to Quadrupole-Type Collective Coordinates and Derivation of Nuclear Quadrupole-Type Collective Hamiltonian
• Exact canonically conjugate momenta approach to a one-dimensional neutron-proton system, I

Cited by in corpus (1)

• A possible quantum fluid-dynamical approach to vortex motion in nuclei