DETERMINISTIC EVOLUTIONS AND SCHRODINGER FLOWS

Authors
FAURE CA MOORE DJ PIRON C
Citation
Ca. Faure et al., DETERMINISTIC EVOLUTIONS AND SCHRODINGER FLOWS, Helvetica Physica Acta, 68(2), 1995, pp. 150-157
Citations number
8
Categorie Soggetti
Physics
Journal title
Helvetica Physica Acta → ACNP
ISSN journal
00180238
Volume
68
Issue
2
Year of publication
1995
Pages
150 - 157
Database
ISI
SICI code
0018-0238(1995)68:2<150:DEASF>2.0.ZU;2-W
Abstract
Deterministic evolutions are defined without ad hoc hypotheses but in the context of the axiomatic approach due to Aerts and Piron. For syst ems described by a family of Hilbert spaces one can prove necessary co nditions on the resulting flow using the tools of projective geometry. In particular we show that a deterministic evolution is always given by a family of partially defined unitary operators.