Hartree-Fock Theory in Nuclear Physics.

Abstract

This document investigates the so-called Hartree-Fock theory arising in the study of the structure of nuclii. The Hartree-Fock theory is an approximation method of many-body problems modelling the interaction of nucleons (netrons and protrons), which lead to nonlinear variational systems fo elliptic equations (the Hartree-Fock equations). These equations pertain to questions related to Spin dependence and Spin orbit forces, Symmetries of the nucleus and symmetry breakings and time dependent Hartree Fock equations. One of the main features of these problems is the tranlation invariance which creates compactness difficulties which are overcome by the use of the concentration-compactness method. Keywords: Nonlinear Schrodinger equations; and Nuclear physics.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1986
Accession Number
ADA167490

Entities

People

  • D. Goyny
  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Equations
  • First Principles Calculations
  • Ground State
  • Hartree Fock Approximation
  • Invariance
  • Mathematics
  • Nuclear Physics
  • Numerical Analysis
  • Physics
  • Quantum Mechanics
  • Quantum Properties
  • Real Variables
  • Theorems
  • Translations
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space