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Die Eindeutigkeit der Ortsobservablen in einer irreduziblen unitären Darstellung bis auf einen Faktor der Galilei‐Gruppe
Author(s) -
Neumann Holger
Publication year - 1971
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19714810211
Subject(s) - unitary representation , group (periodic table) , physics , observable , hilbert space , irreducible representation , unitary group , unitary state , uniqueness , mathematical physics , pure mathematics , mathematics , quantum mechanics , lie group , mathematical analysis , political science , law
Uniqueness of the Position Observable in an Irreducible Unitary Representation up to a Factor of the Galilei Group. An elementarary quantum mechanical system with non vanishing mass is characterized by a continuous irreducible unitary representation up to a factor of the Galilei group in Hilbert space. An argument is given concerning the continuous iurreducible unitary representations of the universal covering group of the Euclidean group such that the position observable is uniquely determined by the transformation properties under the representation of the Galilei group.