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Some corrections to the Thomas-Fermi theory

         

摘要

In the presented model the wave function describing the electron is a superposition of contributions from individual components of the system, in the case of metals - lattice ions and in this sense refers not to a single electron, but rather to the system as a whole. An unconventional approach to the Schro¨dinger equation can provide a simple analytical relationship between the total energy of the electron and the wave number. This expression can directly determine the basic parameters such as Fermi radius, the screening radius or work function and also produce a graphical interpretation of the Fermi surface.

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