There are very few formalisms available to solve the Liouville equation for energy-conserved systems. The continued fraction formalism, introduced through the works of Zwanzig, Mori, Kubo, Lee, Grigolini and others is described here. A detailed discussion is presented on ways to apply the continued fraction formalism to solve for relaxation functions and for the dynamical variable itself for a simple and exactly solvable quantum spin system. © 2005 Elsevier B.V. All rights reserved.

Surajit Sen

Department of Bioscience & Bioengineering

IIT Jodhpur

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Journal	Physica A: Statistical Mechanics and its Applications
Publisher	Elsevier
ISSN	03784371