Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices

2012/07/23 by Takeo Miura, Miura, Takeo
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1207.5330

arXiv admin note: text overlap with arXiv:math-ph/9810011 by other authors

arxiv created 2012/07/23 · arxiv updated 2012/07/24

Abstract

Based on the technique of noncommutative geometry, it is shown that, by means of the concept of the theta quantization, there is an equivalence between the notion of the modular momentum of the Aharonov-Bohm effect and the notion of a noncommutative lattice over a circle poset.

Citations

• Projective Systems of Noncommutative Lattices as a Pregeometric Substratum

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