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Part of the book series: Mathematics and Its Applications ((MAIA,volume 451))

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Abstract

When quantum mechanical particles incident on a potential V one is interested in the fraction transmitted through the potential and the fraction reflected by it. One calculates the probability of reflection and the probability of transmission (Flügge [22], Constantinescu and Magyari [15]). The probability of transmission (or of reflection) can be expressed in terms of the transmission coefficient T (or the reflection coefficient R), defined as the ratio of the probability flux of the transmitted (or reflected) wave to the probability flux of the incident wave. Thus

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© 1998 Springer Science+Business Media Dordrecht

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Steeb, WH. (1998). One-Dimensional Scattering. In: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics. Mathematics and Its Applications, vol 451. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5332-4_16

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  • DOI: https://doi.org/10.1007/978-94-011-5332-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6241-1

  • Online ISBN: 978-94-011-5332-4

  • eBook Packages: Springer Book Archive

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