Abstract
The modified Newton-Sabatier method is applied to invert electronatom scattering phase-shifts into effective potentials. The phase-shifts are corrected for the dipole polarisation interaction of the form −α/2r 4. Polarisation phase shifts are calculated by the method of Holzwarth by using Mathieu functions of the second kind. The inversion potentials are compared with the potentials determined earlier by inverting the corresponding total phase-shifts. Examples involving synthetic as well as experimental phase-shifts show that the new method is capable of determining electron-atom potentials from a substantially smaller set of data at the cost of a prior determination of the underlying complex polarisation phase-shifts.
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© 1997 Springer-Verlag Berlin Heidelberg
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Apagyi, B., Lévay, P., Scheid, W. (1997). Fixed-energy inversion of polarisation-corrected electron-atom scattering phase-shifts into effective potentials. In: Apagyi, B., Endrédi, G., Lévay, P. (eds) Inverse and Algebraic Quantum Scattering Theory. Lecture Notes in Physics, vol 488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104932
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DOI: https://doi.org/10.1007/BFb0104932
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Print ISBN: 978-3-540-63021-0