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- W2022209523 abstract "A semiclassical extension of Levinson's theorem to a model three-body system is presented. The system chosen is a particle interacting with a harmonic oscillator for collinear configurations. The theorem predicts the number N of three-body bound states that a potential energy surface can support, and this number is calculated for a set of surfaces for this model collinear system. The calculation involves the extrapolation of the S matrix to zero collision energy, where S matrix elements needed in the extrapolation are found in the classical limit. For comparison, N is also calculated in a purely classical fashion from the multidimensional phase space volume integral. The results from the semiclassical and purely classical calculations are in fairly good agreement." @default.
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- W2022209523 date "1974-12-15" @default.
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- W2022209523 title "Semiclassical extension of Levinson's theorem to a particle interacting with a harmonic oscillator" @default.
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