Recurrence Relations, Continued Fractions and Time Evolution in Many-Particle Systems,

Abstract

The study of time and frequency dependent behavior in quantum many-particle systems represents one of the most significant developments in statistical physics in recent years. Fundamental approaches involve solving the Heisenberg equation of motion for a given dynamical variable and then evaluating an ensemble average at two different times. Most interesting and difficult regimes are long times and low frequencies where standard perturbative techniques become inapplicable. Recent advances have shown that recurrence relations and continued fractions provide sounder approaches to solving these problems. Progress made at the University of Georgia, supported by the ARO, will be described.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADP006620

Entities

People

  • M. Howard Lee

Organizations

  • University of Georgia

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Equations
  • Formulas (Mathematics)
  • Frequency
  • Mathematics
  • Minnesota
  • Particles
  • Personal Information Managers
  • Standards
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Research Science/Academic Research

Technology Areas

  • Quantum Computing