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Solving the Liouville equation for conservative systems: Continued fraction formalism and a simple application

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  • Sen, Surajit

Abstract

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.

Suggested Citation

  • Sen, Surajit, 2006. "Solving the Liouville equation for conservative systems: Continued fraction formalism and a simple application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 304-324.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:304-324
    DOI: 10.1016/j.physa.2005.06.047
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