Statistics of continuous trajectories in quantum mechanics: Operation-valued stochastic processes View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-08

AUTHORS

A. Barchielli, L. Lanz, G. M. Prosperi

ABSTRACT

A formalism developed in previous papers for the description of continual observations of some quantities in the framework of quantum mechanics is reobtained and generalized, starting from a more axiomatic point of view. The statistics of the observations of continuous state trajectories is treated from the beginning as a generalized stochastic process in the sense of Gel'fand. An effect-valued measure and an operation-valued measure on the σ-algebra generated by the cylinder sets in the space of trajectories are introduced. The properties of the characteristic functional for the “operation-valued stochastic process” are discussed and, through a suitableansatz, a significant class of such processes is explicitly constructed, which contains the examples of the preceding papers as particular cases. More... »

PAGES

779-812

Journal

TITLE

Foundations of Physics

ISSUE

8

VOLUME

13

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01906270

DOI

http://dx.doi.org/10.1007/bf01906270

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1023774662


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