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General Formulation of Scattering Problem Under Quasi-classical Conditions

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Theory of Slow Atomic Collisions

Part of the book series: Springer Series in Chemical Physics ((CHEMICAL,volume 30))

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Abstract

Slow collisions are those for which we can neglect all effects due to the additional translational momenta of the electrons produced in their motion together with the atomic nuclei. Since the additional electron velocity δ υ el corresponding to this translational motion coincides with that of the nuclei υ there is an upper bound on the velocity of the nuclei, υ ≪ υ el, where υ el is the characteristic velocity of the electrons in an atom at rest. If υ el is taken to be the velocity of the electrons in the valence shell of the atom (υ el ≃ 1 a.u. ≃ 108 cm/s), the above conditions represent the most stringent upper bound on the relative energy. However, for transitions of inner-shell atomic electrons, many results of the theory discussed below are also valid for nuclear velocities comparable with 1 a. u.

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Authors and Affiliations

  1. Institute of Chemical Physics, Academy of Sciences of the USSR, Kosygin Street 4, V-334, Moscow, USSR

    Professor Evgenii E. Nikitin & Stanislav Ya. Umanskii

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  1. Professor Evgenii E. Nikitin
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  2. Stanislav Ya. Umanskii
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© 1984 Springer-Verlag Berlin Heidelberg

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Nikitin, E.E., Umanskii, S.Y. (1984). General Formulation of Scattering Problem Under Quasi-classical Conditions. In: Theory of Slow Atomic Collisions. Springer Series in Chemical Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82045-8_2

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  • DOI: https://doi.org/10.1007/978-3-642-82045-8_2

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