Branch Dependence in the "Consistent Histories" Approach to Quantum Mechanics

Müller, Thomas

Branch Dependence in the "Consistent Histories" Approach to Quantum Mechanics

Dateien

Müller_271291.pdfGröße: 141.44 KBDownloads: 152

Datum

2007

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Philosophie

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Foundations of Physics. 2007, 37(2), pp. 253-276. ISSN 0015-9018. eISSN 1572-9516. Available under: doi: 10.1007/s10701-006-9100-x

Zusammenfassung

In the consistent histories formalism one specifies a family of histories as an exhaustive set of pairwise exclusive descriptions of the dynamics of a quantum system. We define branching families of histories, which strike a middle ground between the two available mathematically precise definitions of families of histories, viz., product families and Isham’s history projector operator formalism. The former are too narrow for applications, and the latter’s generality comes at a certain cost, barring an intuitive reading of the “histories”. Branching families retain the intuitiveness of product families, they allow for the interpretation of a history’s weight as a probability, and they allow one to distinguish two kinds of coarse-graining, leading to reconsidering the motivation for the consistency condition.

Fachgebiet (DDC)

100 Philosophie

Schlagwörter

quantum histories, branching time, probability, coarse graining

Zitieren

ISO 690

MÜLLER, Thomas, 2007. Branch Dependence in the "Consistent Histories" Approach to Quantum Mechanics. In: Foundations of Physics. 2007, 37(2), pp. 253-276. ISSN 0015-9018. eISSN 1572-9516. Available under: doi: 10.1007/s10701-006-9100-x

BibTex

@article{Muller2007Branc-27129,
  year={2007},
  doi={10.1007/s10701-006-9100-x},
  title={Branch Dependence in the "Consistent Histories" Approach to Quantum Mechanics},
  number={2},
  volume={37},
  issn={0015-9018},
  journal={Foundations of Physics},
  pages={253--276},
  author={Müller, Thomas}
}

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