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- W2923642783 abstract "A monopole-like singularity generated by Berry's phase in momentum space and associated anomalous Poisson brackets have been discussed in various fields. In the applications, it is crucially important to understand precisely what is the monopole in momentum space implied by Berry's phase. Berry's phase is sensitive to how it is measured and thus very different from the genuine Dirac monopole; the monopole-like singularity in Berry's phase is a result of adiabatic approximation while the singularity disappears in non-adiabatic approximation. The resolution of monopole-like singularity in the non-adiabatic domain implies that no Dirac string appears close to the monopole position and the anomalous terms containing the monopole flux in quantum mechanical commutation relations are absent. The absence of modified commutators is also concluded if one understands Berry's phase in momentum space as an $O(hbar)$ quantum mechanical effect with a quantized magnetic charge $e_{M}=2pihbar$." @default.
- W2923642783 created "2019-04-01" @default.
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- W2923642783 date "2019-02-27" @default.
- W2923642783 modified "2023-09-27" @default.
- W2923642783 title "Resolution of monopole singularity in Berry's phase" @default.
- W2923642783 hasPublicationYear "2019" @default.
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