English

Interference of probabilities and number field structure of quantum models

Quantum Physics 2007-05-23 v1

Abstract

We study the probabilistic consequences of the choice of the basic number field in 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.

Keywords

Cite

@article{arxiv.quant-ph/0107135,
  title  = {Interference of probabilities and number field structure of quantum models},
  author = {Andrei Khrennikov},
  journal= {arXiv preprint arXiv:quant-ph/0107135},
  year   = {2007}
}
R2 v1 2026-07-22T19:31:51.126Z