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Fermi and associated integrals

In: Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming

Author

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  • E. A. B. Cole

    (University of Leeds, Department of Applied Mathematics)

Abstract

It has been shown in Chapters 4 and 5 how the Fermi integrals play an important role in the evaluation of electron number and energy densities. In particular, the associated Fermi integrals which were introduced in those chapters are used in the evaluation of these quantities in quantum wells. These integrals must be evaluated as rapidly and accurately as possible in any device simulation. It is shown how numerical approximations can be made to these integrals in order to achieve this goal.

Suggested Citation

  • E. A. B. Cole, 2009. "Fermi and associated integrals," Springer Books, in: Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming, chapter 0, pages 221-228, Springer.
    • Handle: RePEc:spr:sprchp:978-1-84882-937-4_8
    DOI: 10.1007/978-1-84882-937-4_8
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