Towards Adelic Noncommutative Quantum Mechanics
摘要
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.
引用
@article{arxiv.hep-th/0412088,
title = {Towards Adelic Noncommutative Quantum Mechanics},
author = {Goran S. Djordjevic and Ljubisa Nesic},
journal= {arXiv preprint arXiv:hep-th/0412088},
year = {2007}
}
备注
8 pages, Talk presented at the 8th Adriatic Meeting, "Particle Physics in the new Millennium", (Dubrovnik, Croatia)