Monte Carlo Eigenvalue Methods in Quantum Mechanics and Statistical Mechanics

Abstract

In this review we discuss, from a unified point of view, a variety of Monte Carlo methods used to solve eigenvalue problems in statistical mechanics and quantum mechanics. Although the applications of these methods differ widely, the underlying mathematics is quite similar in that they are stochastic implementations of the power method. In all cases, optimized trial states can be used to reduce the errors of Monte Carlo estimates.

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Document Details

Document Type
Technical Report
Publication Date
Aug 03, 1998
Accession Number
ADA533970

Entities

People

  • C. J. Umrigar
  • M. P. Nightingale

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Condensed Matter Physics
  • Differential Equations
  • Eigenvalues
  • Equations
  • Estimators
  • Materials
  • Mathematics
  • Mechanics
  • Path Integrals
  • Physics
  • Probability Distributions
  • Quantum Mechanics
  • Random Variables
  • Stochastic Processes
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Linear Algebra

Technology Areas

  • Quantum Computing