Abstract
In this chapter, we present a general investigation on the electronic states in ideal one-dimensional crystals of finite length L = Na, where a is the potential period and N is a positive integer.1 On the basis of the theory of differential equations in Chapter 2, exact and general results on the electronic states in such an ideal finite crystal can be analytically obtained. We will see that in obtaining the results in this chapter, it is the understanding of the zeros of the solutions of a one-dimensional Schrödinger differential equation with a periodic potential that plays a fundamental role.
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(2006). Electronic States in Ideal One-Dimensional Crystals of Finite Length. In: Ren, S.Y. (eds) Electronic States in Crystals of Finite Size. Springer Tracts in Modern Physics, vol 212. Springer, New York, NY. https://doi.org/10.1007/978-0-387-26304-5_4
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DOI: https://doi.org/10.1007/978-0-387-26304-5_4
Publisher Name: Springer, New York, NY
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