ISSN:
1572-9036
Keywords:
20C35
;
81G20
;
Harmonic analysis
;
stochastic quantum mechanics
;
systems of covariance
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The spectral resolution of phase space representations of the Galilei group is achieved by deriving all possible decompositions into irreducible representations corresponding to reproducing kernel Hilbert spaces. Spectral syntheses in terms of eigenfunction expansions, as well as in terms of continuous resolutions of the identity, are achieved. For the latter, the existence, uniqueness and other basic properties of resolution generators are established. This is shown to lead to systems of covariance related to measurements of stochastic phase space values performed with extended quantum test particles, whose proper wavefunctions are the aforementioned resolution generators.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00046933
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