Wave interaction of electrons in cryogenic plasma-like medium with degenerate electrons

Abstract

The general expression of the interaction potential between electrons in a plasma-like medium (gas plasma, semiconductor plasma) with degenerate electrons (light negative charge carriers) is calculated. It is shown that the electron-electron interaction at short distances (smaller than or of the order of the Debye screening length) is described by the ordinary Coulomb potential with Debye field screening. At distances far exceeding the Debye screening length, the electron repulsion weakens and attraction becomes dominant, which is caused by the wave interaction of electrons due to the ion-acoustic wave exchange. It is shown that the wave interaction potential decreases with distance as 1/r 3. The possibility of forming the bound state of two electrons (Cooper pair) in the field of such a potential in indicated media is discussed.