A novel view to free electron theory

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The book delves into the density of randomly moving electrons through the lens of the Fermi distribution function and thermal noise. It presents general expressions for key properties such as conductivity, diffusion coefficient, and drift mobility applicable across all levels of electron gas degeneracy in isotropic materials. For the first time, it provides estimated values for the effective density, diffusion coefficient, and drift mobility of various metals, highlighting that the Einstein relation remains unaffected by electron gas degeneracy.