Finite temperature Lewis' invariants for the Liouville equation

A. Plastino, A.N. Proto and C. Sarris

Physica A: Statistical Mechanics and its Applications, 1997, vol. 241, issue 3, 649-663

Abstract: Invariants of the Lewis kind are introduced within the context of Statistical Mechanics via information theory concepts. Several invariants of the Liouville equation are in this way built-up. Both the classical and the quantal cases are studied. Some applications are discussed. It is shown that the celebrated Lewis invariants for the time-dependent harmonic oscillator are but special cases of our more general invariants.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:241:y:1997:i:3:p:649-663

DOI: 10.1016/S0378-4371(97)00177-5

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