By Bernd Lohmann
Perspective and spin resolved Auger emission physics bargains with the theoretical and numerical description, research and interpretation of such sorts of experiments on loose atoms and molecules. This monograph derives the final thought utilising the density matrix formalism and, by way of irreducible tensorial units, so known as country multipoles and order parameters, for parameterizing the atomic and molecular structures, respectively. it's the first booklet on perspective and spin-resolved Auger emission.
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Extra info for Angle and Spin Resolved Auger Emission: Theory and Applications to Atoms and Molecules (Springer Series on Atomic, Optical, and Plasma Physics)
59) 3 Thus, the anisotropy parameters become a constant number, independent of their rank K . g. for the photoexcitation of the rare gases and their subsequent Auger decay. 60) where es− denotes the inelastically scattered electron. 62) ρˆ out = Ti ρˆ in Ti+ . 63) ρˆ out = V ρˆ in V + = V ρˆ in V , where V denotes the Coulomb operator, and for the state multipoles we get ˆ in V T (J )+ T (J )+ K Q = tr V ρ KQ . 64) The total density matrix describing the uncorrelated ensemble of initial electron e− and atomic state A can be written as a direct product ˆ ˆ − ).
Especially, for the case that K = 1 we obtain √ 3 (2J + 1) .
The total angular momentum of the initial and final states is denoted by J1 . Since the transition operator is proportional to a zero-rank tensor, J1 must be conserved. 71) and thus, the anisotropy parameter Bscat can be re-defined as Bscat (K kq) = Bscat (K Q , kq) δqQ . e. 70), with those for photoionization/excitation we point out two major differences. First, the parameter Bscat does not solely depend on the rank K as in the photon case but is also a function of rank + describing the polarization k and magnetic component q of the state multipoles tkq state of the incoming electron beam.