Accession Number:

ADP006620

Title:

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

Descriptive Note:

Corporate Author:

GEORGIA UNIV ATHENS DEPT OF PHYSICS AND ASTRONOMY

Personal Author(s):

Report Date:

1992-03-01

Pagination or Media Count:

12.0

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.

Subject Categories:

  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE