Hartree-Fock Theory in Nuclear Physics.

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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.

Author(s):
Goyny, D. ; Lions, P. L.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0075

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2914
Contract/Grant Number(s):
DAAG29-80-C-0041
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_1_Force Support; JCA_5_Command and Control; JCA_1.3_Human Capital Management; JCA_1.3.2_Personnel Management; JCA_5.3_Planning; JCA_6_Net Centric; JCA_6.3.3_Spectrum Management; JCA_1.2_Force Preparation; JCA_6.2.1_Information Sharing; JCA_6.2.2_Computing Services; JCA_6.3_Net Management; JCA_6.4.1_Secure Information Exchange
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Energy and Power Technologies
Descriptor(s):
*SCHRODINGER EQUATION, *NUCLEAR PHYSICS, *HARTREE FOCK APPROXIMATION, INTERACTIONS, THEORY, NONLINEAR DIFFERENTIAL EQUATIONS, NONLINEAR SYSTEMS, INVARIANCE, VARIATIONAL METHODS, NUCLEONS, NUCLEAR SPINS
Field(s)/Group(s):
Nuclear Physics and Elementary Particle Physics, Quantum Theory and Relativity
Keyword(s):
Spin orbit coupling, Elliptic differential equations
Report Date:
1986 Feb 01