Inferring the statistical interpretation of quantum mechanics from the classical limit

Authors
Citation
K. Gottfried, Inferring the statistical interpretation of quantum mechanics from the classical limit, NATURE, 405(6786), 2000, pp. 533-536
Citations number
9
Categorie Soggetti
Multidisciplinary,Multidisciplinary,Multidisciplinary
Journal title
NATURE
ISSN journal
00280836 → ACNP
Volume
405
Issue
6786
Year of publication
2000
Pages
533 - 536
Database
ISI
SICI code
0028-0836(20000601)405:6786<533:ITSIOQ>2.0.ZU;2-A
Abstract
It is widely believed that the statistical interpretation of quantum mechan ics cannot be inferred from the Schrodinger equation itself, and must be st ated as an additional independent axiom. Here I propose that the situation is not so stark. For systems that have both continuous and discrete degrees of freedom (such as coordinates and spin respectively), the statistical in terpretation for the discrete variables is implied by requiring that the sy stem's gross motion can be classically described under circumstances specif ied by the Schrodinger equation. However, this is not a full-fledged deriva tion of the statistical interpretation because it does not apply to the con tinuous variables of classical mechanics.