NUMERICAL ESTIMATION OF THE PARTITION FUNCTION IN QUANTUM STATISTICS

Abstract

A method for estimating the partition function of a quantum mechanical system is described. The method is based on a technique for evaluating the Wiener integrals in terms of which the partition function may be expressed. This technique involves first, an approximation of the Wiener integral by an n-dimensional integral and, second, a Monte Carlo estimation of the value of the ndimensional integral. Application of the+++A numerical estimation of the partition function in quantum statistics.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1962
Accession Number
AD0278221

Entities

People

  • Lloyd D. Fosdick

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Integrals
  • Mathematics
  • Quantum Statistical Mechanics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.

Technology Areas

  • Quantum Computing