CLASSICAL MECHANICS AS QUANTUM-MECHANICS WITH INFINITESIMAL-H

Autor(en): WERNER, RF
WOLFF, MPH
Stichwörter: LIMIT; PHASE; Physics; Physics, Multidisciplinary
Erscheinungsdatum: 1995
Herausgeber: ELSEVIER SCIENCE BV
Journal: PHYSICS LETTERS A
Volumen: 202
Ausgabe: 2-3
Startseite: 155
Seitenende: 159
Zusammenfassung: 
We 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.
ISSN: 03759601
DOI: 10.1016/0375-9601(95)00344-3

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