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cond-mat.str-el2023
Berry's phase and quantum mechanical formulation of anomalous Hall effect
Kazuo Fujikawa, Koichiro Umetsu
The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector po…
cond-mat.str-el2022★ 3 cited
A path integral derivation of the equations of anomalous Hall effect
Kazuo Fujikawa, Koichiro Umetsu
A path integral (Lagrangian formalism) is used to derive the effective equations of motion of the anomalous Hall effect with Berry's phase on the basis of the adiabatic condition $…