#Thomas fermi screening constant series
This is related to the Gibbs phenomenon, where fourier series for functions that vary rapidly in space are not good approximations unless a very large number of terms in the series are retained. However, it is not energetically possible for an electron within or on a Fermi surface to respond at wave-vectors shorter than the Fermi wave-vector. This is because Fermi-Thomas theory assumes that the mobile charges (electrons) can respond at any wave-vector. In real metals, electrical screening is more complex than described above in the Fermi-Thomas theory. Note that this potential has the same form as the Yukawa potential. It is a Coulomb potential multiplied by an exponential damping term, with the strength of the damping factor given by the magnitude of "k 0", the Debye or Fermi-Thomas wave vector. Which is called a screened Coulomb potential. In a fluid composed of electrically charged constituent particles, each pair of particles interact through the Coulomb force, However, because the fluids involved have charged particles, they can generate and are affected by magnetism which is a very relevant and complex area of astrophysics. In astrophysics, electric field screening is important because it makes electric fields largely irrelevant. It is an important part of the behavior of charge-carrying fluids, such as ionized gases (classical plasmas) and conduction electrons in semiconductors and metals. Screening is the damping of electric fields caused by the presence of mobile charge carriers.