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Microscopic Calculation of Retunneling Rates of Hydrogen on Transition Metals

  • W. Hübner
  • W. Brenig
  • H. Kasai
Part of the Springer Series in Surface Sciences book series (SSSUR, volume 4)

Abstract

The motion of desorbing ions can be described by a Schrödinger equation [1]
$$\{ {{p}^{2}}/2m + {{V}_{i}}(x) + iW(x)\} \psi (x,t) = i\dot{\psi }(x,t)$$
(1)
where x is the distance from the surface, Vi(x) the ionic potential and W(x) the retunneling rate. For a given initial condition
$$\psi (x,0) = const \exp {{( - {{x}^{2}}/2\Delta x)}^{2}})$$
this equation determines the energy distribution of desorbing particles containing essentially three parameters,
  1. 1)

    an average energy \(< E > \cong {{V}_{i}}(0)\)

     
  2. 2)

    a width \(\Delta E \cong {{(\partial {{V}_{i}}/\partial x)}_{{x = {{0}^{{\Delta x}}}}}}\)

     
  3. 3)

    a reduction factor \({{P}_{\infty }} \cong \exp ( - 2\smallint < W{{ > }_{t}}dt)\)

     

Keywords

Feynman Diagram Ionic Level Auger Process Fourth Order Term Atomic Limit 
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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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • W. Hübner
    • 1
  • W. Brenig
    • 1
  • H. Kasai
    • 1
  1. 1.Physik DepartmentTU MünchenGarching-MünchenFed. Rep. of Germany

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