CLASSICAL MECHANICS AS QUANTUM-MECHANICS WITH INFINITESIMAL-H

DC FieldValueLanguage
dc.contributor.authorWERNER, RF
dc.contributor.authorWOLFF, MPH
dc.date.accessioned2021-12-23T16:07:11Z-
dc.date.available2021-12-23T16:07:11Z-
dc.date.issued1995
dc.identifier.issn03759601
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7749-
dc.description.abstractWe define the classical limit of quantum theory in the mathematical framework of nonstandard analysis, choosing h as an infinitesimal number. Up to corrections of infinitesimally small norm, bounded observables which change continuously on the standard (non-infinitesimal) phase space scale, are identified with functions on phase space. We discuss the convergence of commutators to Poisson brackets, and the quantum time evolution to the classical one. These results are also shown for the classical limit of spin systems, by choosing the spin as an infinite half-integer.
dc.language.isoen
dc.publisherELSEVIER SCIENCE BV
dc.relation.ispartofPHYSICS LETTERS A
dc.subjectLIMIT
dc.subjectPHASE
dc.subjectPhysics
dc.subjectPhysics, Multidisciplinary
dc.titleCLASSICAL MECHANICS AS QUANTUM-MECHANICS WITH INFINITESIMAL-H
dc.typejournal article
dc.identifier.doi10.1016/0375-9601(95)00344-3
dc.identifier.isiISI:A1995RE06400002
dc.description.volume202
dc.description.issue2-3
dc.description.startpage155
dc.description.endpage159
dc.contributor.orcid0000-0003-2288-468X
dc.contributor.researcheridC-1123-2009
dc.publisher.placePO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
dcterms.isPartOf.abbreviationPhys. Lett. A
Show simple item record

Page view(s)

2
Last Week
0
Last month
0
checked on Apr 13, 2024

Google ScholarTM

Check

Altmetric