Final Report: 06-LW-013, Nuclear Physics the Monte Carlo Way

Ormand, W E

关键词: EXACT SOLUTIONS;    LAWRENCE LIVERMORE NATIONAL LABORATORY;    MANY-BODY PROBLEM;    MONTE CARLO METHOD;    NUCLEAR PHYSICS;    PHYSICS;   

DOI  :  10.2172/948979
RP-ID  :  LLNL-TR-410966
PID  :  OSTI ID: 948979
Others  :  TRN: US0901884

学科分类：核物理和高能物理

美国|英语

来源: SciTech Connect

【 摘 要 】

This is document reports the progress and accomplishments achieved in 2006-2007 with LDRD funding under the proposal 06-LW-013, 'Nuclear Physics the Monte Carlo Way'. The project was a theoretical study to explore a novel approach to dealing with a persistent problem in Monte Carlo approaches to quantum many-body systems. The goal was to implement a solution to the notorious 'sign-problem', which if successful, would permit, for the first time, exact solutions to quantum many-body systems that cannot be addressed with other methods. In this document, we outline the progress and accomplishments achieved during FY2006-2007 with LDRD funding in the proposal 06-LW-013, 'Nuclear Physics the Monte Carlo Way'. This project was funded under the Lab Wide LDRD competition at Lawrence Livermore National Laboratory. The primary objective of this project was to test the feasibility of implementing a novel approach to solving the generic quantum many-body problem, which is one of the most important problems being addressed in theoretical physics today. Instead of traditional methods based matrix diagonalization, this proposal focused a Monte Carlo method. The principal difficulty with Monte Carlo methods, is the so-called 'sign problem'. The sign problem, which will discussed in some detail later, is endemic to Monte Carlo approaches to the quantum many-body problem, and is the principal reason that they have not been completely successful in the past. Here, we outline our research in the 'shifted-contour method' applied the Auxiliary Field Monte Carlo (AFMC) method.