Interference of probabilities and number field structure of quantum models
Article first published online: 22 OCT 2003
Copyright © 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 12, Issue 10, pages 575–585, November 2003
How to Cite
Khrennikov, A. (2003), Interference of probabilities and number field structure of quantum models. Ann. Phys., 12: 575–585. doi: 10.1002/andp.200310027
- Issue published online: 22 OCT 2003
- Article first published online: 22 OCT 2003
- Manuscript Accepted: 26 AUG 2003
- Manuscript Received: 3 AUG 2001
- Interference of probabilities;
- quantum probability;
- number field structure;
- p-adic and hyperbolic numbers.
We study the probabilistic consequences of the choice of the basic number field in the quantum formalism. We demonstrate that by choosing a number field for a linear space representation of quantum model it is possible to describe various interference phenomena. We analyse interference of probabilistic alternatives induced by real, complex, hyperbolic (Clifford) and p-adic representations.