Abstract
In this book we have presented a survey of binding and transmission in constrained two-dimensional systems. Our intent was to convey the range of different phenomena which appear in very simple geometries. In many cases we were able to construct accurate analytic approximations of simple 2-D systems. These constrained 2-D systems exhibit a fascinating array of structure, including localized states both below and above continuum threshold, trapped modes, and quasi-bound states. The transfer-matrix approach provides a framework which allows one to extract the dominant physical processes, particularly for tubes with periodic structure. Plots of the probability current can provide an intuitive understanding of the mechanisms for transmission. In these simple models one can differentiate between quasi 1-D phenomena, and true 2-D effects.
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© 1999 Springer-Verlag Berlin Heidelberg
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(1999). Epilogue. In: Binding and Scattering in Two-Dimensional Systems. Lecture Notes in Physics Monographs, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47937-6_8
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DOI: https://doi.org/10.1007/3-540-47937-6_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66684-4
Online ISBN: 978-3-540-47937-6
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