Adelic Quantum Mechanics: Nonarchimedean and Noncommutative Aspects

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Talk presented at the Conference: Noncommutative structures in mathematics and physics, Kiev, Sept. 24-27. 2000

Scientific paper

We present a short review of adelic quantum mechanics pointing out its
non-Archimedean and noncommutative aspects. In particular, $p$-adic path
integral and adelic quantum cosmology are considered. Some similarities between
$p$-adic analysis and q-analysis are noted. The $p$-adic Moyal product is
introduced.

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