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- W2078072619 abstract "Abstract The solution of the separable Schrödinger equation is considered for the important one-dimensional case of systematic reflections. The one coupled equation corresponds to free electron propagation in the forward direction, the other equation to a Hilľs equation for any periodic potential and a Mathieu's equation for a sinusoidal potential. In this particular case, it is shown how, with increasing accelerating voltage, bound states develop with a consequent progression from a periodic potential (undulatory phenomenon) to a potential well effect (channelling phenomenon), and the classical notions of transverse energy and critical angle for planar channelling are also introduced in high voltage electron microscopy." @default.
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- W2078072619 title "Separation of the schrödinger equation in the dynamical theory of electron diffraction, in the case of systematic reflections" @default.
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- W2078072619 doi "https://doi.org/10.1080/00337577808234473" @default.
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