Gibbs-like ensembles and the inference of pure states

M. Casas and A. Plastino

Physica A: Statistical Mechanics and its Applications, 1997, vol. 241, issue 3, 704-718

Abstract: Arguments of the Jaynes' maximum entropy sort have proved to be surprisingly successful in providing one with approximate descriptions of pure states in a variety of scenarios, entirely bypassing any consideration of Schrödinger's equation. Thus far, however, the concomitant algorithm was unable to incorporate input information concerning expectation values of complementary observables. We discuss here, how to overcome this difficulty by taking recourse to ideas borrowed from Gibbs' ones concerning statistical ensembles. The ensuing approach is able to yield, starting from a reduced set of expectation values, approximate wave functions of a rather good quality, as illustrated by simple examples.

Keywords: Information science; Bound states (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:241:y:1997:i:3:p:704-718

DOI: 10.1016/S0378-4371(97)00174-X

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