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- W2024455843 abstract "For highly excited states of atomic systems, and for electron-atom collisions at energies below the threshold for collisional ionisation, one can define a value r0 of r such that, to a good approximation, there is only one electron in the region r>r0. This is referred to as the asymptotic region. The wavefunction for an electron in the asymptotic region is a solution of a system of coupled differential equations with multipole potentials. If the dipole length operator is used to calculate matrix elements for radiative transitions, the contributions from the asymptotic region are slowly convergent or, for free-free transitions, only conditionally convergent. It is shown, as a generalisation of earlier work by Peach (1965), that the dipole length integrals in the asymptotic region can be expressed in terms of dipole acceleration integrals, which are more rapidly convergent, together with surface terms evaluated at r=r0." @default.
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- W2024455843 date "1981-10-28" @default.
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- W2024455843 title "Contributions to radiative transition probabilities from the asymptotic region" @default.
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- W2024455843 doi "https://doi.org/10.1088/0022-3700/14/20/007" @default.
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