Hydrodynamic Approximations to Time-dependent Hartree
نویسنده
چکیده
By means of a Wigner transformation of the onebody density matrix, the Time Dependent HartreeFock equations are expressed as a quantal Vlasovlike equation describing the dynamics of a phasespace distribution function. Moments of this equation result in an infinite hierarchy of nonlocal equations which yield to a hydrodynamic interpretation. The assumptions of an effective two-body interaction of the Skyrme type and of certain semi-classical properties of the distribution function allow a closed set of (almost) local equations for the density, velocity, and pressure fields. These equations are applied to small oscillations about the static Hartree-Fock solution (RPA) for both infinite nuclear matter and finite nuclei. The kinematics of the nonlinear solutions corresponding to shock waves in nuclear matter is also discussed. Thesis Supervisor: Arthur Kerman Title: Professor of Physics
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