The Canonical Flux Quantization and IQHE(revised)

Abstract

It is shown that the canonical flux quantization, which is described by the uncertainty relation on the phase space of the flux system, can result in the quantization of Hall-measures. Further it is shown that the polarization of this phase space, which is necessary for its quantization, results in the vanishing of longitudinal resistivity and conductivity. The equivalence between this approach and the topological approach to QHE is also discussed.