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Gibbs-like ensembles and the inference of pure states

✍ Scribed by M. Casas; A. Plastino

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 652 KB
Volume: 241
Category: Article
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(97)00174-x

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✦ Synopsis

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 Schr6dinger'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.

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