Vectorlike representation of one-dimensional scattering
量子物理
2007-05-23 v1 物理教育
摘要
We present a self-contained discussion of the use of the transfer-matrix formalism to study one-dimensional scattering. We elaborate on the geometrical interpretation of this transfer matrix as a conformal mapping on the unit disk. By generalizing to the unit disk the idea of turns, introduced by Hamilton to represent rotations on the sphere, we develop a method to represent transfer matrices by hyperbolic turns, which can be composed by a simple parallelogramlike rule.
引用
@article{arxiv.quant-ph/0411081,
title = {Vectorlike representation of one-dimensional scattering},
author = {L. L. Sanchez-Soto and J. F. Carinena and A. G. Barriuso and J. J. Monzon},
journal= {arXiv preprint arXiv:quant-ph/0411081},
year = {2007}
}
备注
8 pages, 5 figures. This paper is dedicated to Alberto Galindo the occasion of his seventieth birthday. Submitted for publication