An effective electron-electron interaction potential in a metal film is numerically calculated within the jellium model. The effect of the film thickness on this potential is studied and it is found that even minor changes in the film thickness cause significant changes in the behavior of this potential.
The Coulomb interaction between electrons of opposite double layers in nanostructures with taking into account discrete electron states is theoretically studied. It is shown that at a certain ratio between the width of double layers and distances between them, the Coulomb interaction is sensitive to the energy states of interacting electrons.
Two methods of mass calculation of degenerate dwarfs were considered: based on (1) hydrostatic equilibrium equation as well as (2) variational principle. In this work we used model with ideal electron subsystem and one with Coulomb interaction. An instability region of massive white dwarfs was explored. For the first time, taking into account the Coulomb interaction, there were obtained critical values of mass and relativistic parameter at wich instability due to general relativity effects occured.