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The transport equations and the device equations

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

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  • E. A. B. Cole

    (University of Leeds, Department of Applied Mathematics)

Abstract

The charge carriers in semiconductor devices—electrons and holes—are quantum particles. Any researcher in device modelling must have a thorough grounding in the theory of quantum mechanics, because there is no point in finding solutions to the quantum equations without being able to sensibly interpret these solutions in the quantum context. This chapter presents the basic theory of quantum mechanics, including a discussion of the derivation and structure of the Schrödinger equation, its solutions for one-dimensional problems, operators, spin, the hydrogen atom, and identical particles.

Suggested Citation

  • E. A. B. Cole, 2009. "The transport equations and the device equations," Springer Books, in: Mathematical and Numerical Modelling of Heterostructure Semiconductor Devices: From Theory to Programming, chapter 0, pages 161-185, Springer.
    • Handle: RePEc:spr:sprchp:978-1-84882-937-4_6
    DOI: 10.1007/978-1-84882-937-4_6
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