Modular Momentum of the Aharonov-Bohm Effect on Noncommutative Lattices
  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. 
Takeo Miura
math-ph math.MP