Condensed Matter Physics, 1996, No 8, p. 99-108, English
On the basis of the proposed diagram technique in quantizing magnetic field, two problems of interelecteren screening are investigated. In the first one in the RPA framework the Fourier-transformation of Coulomb interactions is analysed. It is obtained to have an oscillating character with respect magnetic field and band filling. In ultraquantum magnetic field the polarization loop which is diagonal over Landau numbers formally coincides with that in the one-dimensional case. In the second problem in RPA the renormalization of the interelectron potential in a one-dimensional crystal with the narrow band is studied. It is shown, that at some conditions such potential is an oscillating sign-variable function on an interelectron distance.
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