Abstract
Sommerfeld's formula for approximate evaluation of integrals involving the Fermi-Dirac function is derived by the Laplace transform method, and its limitations are discussed.
References
A. Sommerfeld,Z. Physik 47:1 (1928); H. Bethe and A. Sommerfeld,Handbuch der Physik 24/2, Section 3, Springer, Berlin (1933); A. H. Wilson,The Theory of Metals, Appendix A3, Cambridge University Press (1954).
I. Adawi,Phys. Rev. 146:379 (1966).
R. Blankenbecler,Am. J. Phys. 25:279 (1957).
B. Van der Pol and H. Bremmer,Operational Calculus, Cambridge University Press (1959), p. 27.
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Adawi, I. A note on Sommerfeld's formula for Fermi-Dirac integrals. J Stat Phys 12, 263–265 (1975). https://doi.org/10.1007/BF01011970
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DOI: https://doi.org/10.1007/BF01011970