Tamm states by the scattering matrix method |
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| Affiliation: | 1. Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Santiago 7491169, Chile;2. Centro de Investigación en Matemáticas, A.C., Unidad Mérida, Yuc. 97302, Mexico;3. Departamento de Física, Facultad de Ciencias, Universidad de Chile, Santiago 7800003, Chile;4. Centro de Recursos Educativos Avanzados, CREA, Santiago 7500018, Chile;5. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Santiago 7491169, Chile;1. Research Group of Intracellular Signalling and Technology of Reproduction (SINTREP), Research Institute of Biotechnology in Livestock and Cynegetic (INBIO G+C), University of Extremadura, Cáceres, Spain;2. Department of Biochemistry and Molecular Biology and Genetics, Faculty of Veterinary Sciences, University of Extremadura, Cáceres, Spain;3. Department of Animal Medicine, Faculty of Veterinary Sciences, University of Extremadura, Cáceres, Spain;4. Department of Physiology, Faculty of Veterinary Sciences, University of Extremadura, Cáceres, Spain;1. School of Engineering, University of Warwick, Coventry, CV4 7AL, UK;2. Department of Information Engineering, University of Pisa, Pisa, I-56122, Italy;3. Department of Materials Science, University of Milano Bicocca, Milano, I-20125, Italy;1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA;2. Department of Mathematics, UCLA, Los Angeles, CA 90095, USA |
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| Abstract: | We discuss the energy levels at the surface of a one-dimensional semi-infinite crystal which Aerts calculated via the scattering matrix method. He found that the number of possible surface states in the first forbidden gap is two, one or zero. Taking the existence condition into account, we show that, in agreement with Tamm, a maximum of one surface state can occur in the first forbidden gap. |
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