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math-ph2012
Generation of Nonlocal Spaces from Moyal Brackets and Penrose Lattices by way of example
Takeo Miura
In this paper we consider a connection between the Moyal formuration of quantum mechanics and noncommutative lattices on nonlocal spaces. The Moyal bracket generates SU(N) Lie alge…
math-ph2012★ 1 cited
Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices
Takeo Miura
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 mo…