In 1961 W. Kohn's paper ( Phys. Rev. 123, 1242 (1961) ) first stated that the electron-electron interaction does not change the cyclotron resonance frequency in a bulk three dimensional gas.
I can understand the first 11 equations in this paper, but What does Eq. (12) mean and how to explicitly prove that the cyclotron frequency is not affected by interaction U?
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