Abstract
A brief introduction of the derivation and the use of the transfer matrix to study propagation in one-dimensional lossless systems is presented in this chapter, including several most simple examples. Both the energy eigenvalue and scattering issues are illustrated with discrete potential of only very few layers. Different from the conventional transfer matrix, which specifies the amplitudes of the right- and left-moving waves on either side of the potential, the modified transfer matrix in this book connects the wave function and its first derivative instead. This chapter also discusses the basic characteristics of the matrix in general.
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© 2014 Shanghai Jiao Tong University Press, Shanghai and Springer-Verlag Berlin Heidelberg
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Cao, Z., Yin, C. (2014). Analytical Transfer Matrix Method. In: Advances in One-Dimensional Wave Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40891-5_2
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DOI: https://doi.org/10.1007/978-3-642-40891-5_2
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