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Projection and Quasi-Projection Operators for Electron Impact Resonances on Many-Electron Atomic Targets

  • A. Temkin
  • A. K. Bhatia
Part of the Physics of Atoms and Molecules book series (PAMO)

Abstract

In Chapter 1, we dealt with the theory and applications of the projection-operator formalism to two-electron systems. The reason for singling out two-electron autoionization systems (implying a one-electron target) was given in Chapter 1; to repeat briefly, the fact that the target eigenfunctions are known analytically and the special character of a one-electron target allow exact projection operators in the Feshbach sense(1) to be written down, which thereby allows precision calculations of the composite (two-electron) system approaching the accuracy of ordinary two-electron bound-state systems to be carried out [cf., for example, Ref. 2]. In the case of autoionization of two- or more electron target systems, the inability of achieving comparable precision arises from two causes: not only can we not give the exact eigenfunctions analytically, but we cannot even supply a formal, explicit expression for the projection operators that we need at the outset.

Keywords

Projection Operator Radial Function Shape Resonance Feshbach Resonance Electron Target 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • A. Temkin
    • 1
  • A. K. Bhatia
    • 1
  1. 1.Laboratory for Astronomy and Solar Physics, National Aeronautics and Space AdministrationGoddard Space Flight CenterGreenbeltUSA

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