The Computation of Fermi-Dirac Functions

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DOI: 10.1098/RSTA.1938.0004

关键词: ComputationBasis (linear algebra)CombinatoricsEnergy (signal processing)MathematicsInterpretation (model theory)Range (statistics)Unit (ring theory)Fermi–Dirac statisticsExpression (computer science)Mathematical physics

摘要: The quantitative application of Fermi-Dirac statistics involves the evaluation certain integrals which have not previously been tabulated. In this paper, tables are given values basic most frequently required , with a view to placing Fermi-Dirrac on as firm numerical basis is Maxwell-Boltzmann statistics. T e expression for energy distribution particles subject may be written in form dN He) de e<*+Pe -)-1 ’ wherev(e) number states per unit range, and range e--de. statistical treatment, parameters ot fi, usually introduced undetermined multipliers variational equation, determined from two equations expressing conditions imposed by total particles, system. By linking up thermodynamical treatments, interpretation can b expressed P**:l IkT, = -C lk

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