Anaslysis of quantum properties with local dielectric constant and local electric conductivity

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Local dielectric constant and local electric conductivity are studied in viewpoints of the analysis of properties of quantum condensed matter.In the study of local dielectric constant, the numerical computational code of the dynamics of quantum states of nuclei, as well as electrons, based on quantum field theory. In the study of local electric conductivity, the description of electric current in quantum field theory is stuidied. It is shown that the vector part in the four component photon field is important and lorentz covariance is necessary for correct current. In addition, the local conductive property of benzenedithiol and silicon nanowire is studied by using the wave functions based on quantum mechanics.