*This chapter calls on trigonometry and calculus, both differentiation and integration.*

This book is all about things that oscillate at terahertz frequencies, as introduced in Chapter 1. In Chapters 2 and 3 we saw how oscillations can be described using mathematics. In Chapter 4 we moved from the purely mathematical to physical reality, in treating the oscillatory nature of light. Now, in this chapter, we look at oscillations in matter.

The oscillations that can be sustained in matter are described by quantum mechanics. In this chapter, the *wave mechanics* approach to quantum mechanics is introduced via the *Schrödinger equation*. The equation is then solved for many cases of general and practical interest: the free particle, confined ...

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