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Quantum Mechanics for Scientists and Engineers by David A. B. Miller

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Chapter 8

Quantum mechanics in crystalline materials

Prerequisites: Chapters 27, including the discussion of periodic boundary conditions in Section 5.4.

One of the most important practical applications of quantum mechanics is the understanding and engineering of crystalline materials. Of course, the full understanding of crystalline materials is a major part of solid-state physics and merits a much longer discussion than we give here. We will, however, try to introduce some of the most basic quantum mechanical principles and simplifications in crystalline materials. This will also allow us to perform many quantum mechanical calculations of important processes in semiconductors.

8.1  Crystals

A crystal is a material whose measurable properties ...

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