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arXiv · hep-th/0412088

Towards Adelic Noncommutative Quantum Mechanics

Goran S. Djordjevic·Ljubisa Nesic
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Abstract

A motivation of using noncommutative and nonarchimedean geometry on very short distances is given. Besides some mathematical preliminaries, we give a short introduction in adelic quantum mechanics. We also recall to basic ideas and tools embedded in q-deformed and noncommutative quantum mechanics. A rather fundamental approach, called deformation quantization, is noted. A few relations between noncommutativity and nonarchimedean spaces as well as similarities between corresponding quantum theories on them are pointed out. An extended Moyal product in a proposed form of adelic noncommutative quantum mechanics is considered. We suggest some question for future investigations.

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Goran S. Djordjevic, Ljubisa Nesic. 2004-12-08. Towards Adelic Noncommutative Quantum Mechanics. https://arxiv.org/abs/hep-th/0412088

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