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Introduction to Quantum Monte Carlo Simulations of Electronic Systems

  • Richard M. Martin
  • Vincent D. Natoli

Abstract

Monte Carlo statistical methods have a unique role in computational physics because random sampling can be used to carry out exact or nearly exact calculations for many-body systems. The subject of this paper is a brief outline of some of the current developments in applying Monte Carlo methods to quantum problems involving interacting electrons in condensed matter. We will discuss methods and examples, in particular, homogeneous electron systems, the metal-insulator transition in hydrogen at high pressure, and a brief introduction to ab initio calculations on general materials.

Keywords

Ground State Energy Trial Function Slater Determinant Quantum Monte Carlo Diffusion Monte Carlo 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Richard M. Martin
    • 1
    • 2
  • Vincent D. Natoli
    • 1
  1. 1.Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Materials Research LaboratoryUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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