0107135v1

related topics
{particle, mechanics, theory}
{group, space, representation}
{observables, space, algebra}
{let, theorem, proof}
{cos, sin, state}
{operator, operators, space}
{classical, space, random}
{energy, gaussian, time}
{temperature, thermal, energy}
{equation, function, exp}
{phase, path, phys}
{field, particle, equation}
{bell, inequality, local}

Interference of probabilities and number field structure of quantum models

Andrei Khrennikov

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.

oai_identifier:
oai:arXiv.org:quant-ph/0107135
categories:
quant-ph
arxiv_id:
quant-ph/0107135
created:
2001-07-26

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