By Bernd Lohmann

Angle and spin resolved Auger emission physics offers with the theoretical and numerical description, research and interpretation of such kinds of experiments on unfastened atoms and molecules. This monograph derives the final thought utilizing 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 platforms, respectively. it's the first ebook on perspective and spin-resolved Auger emission.

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**Example text**

48) apply. The restriction K ≤ 2 is again caused by the dipole approximation. In particular, we obtain the normalization parameter Bexci (0) = 1 (2J0 + 1) 3(2J + 1) J d J0 2 . 57) The state multipoles describing the intermediate excited atomic ensemble are therefore related to the state multipoles of the incoming photon beam by a similar relation as has been obtained for the case of photoionization. 58) K Q = Bexci (K ) TΓ γ δK ,Γ δQ ,γ . 56) can be further reduced 1 2 1 d 0 . 59) 3 Thus, the anisotropy parameters become a constant number, independent of their rank K .

15) gives the expansion of the density operator in terms of irreducible tensor operators T (J J )+ KQ T (J J )KQ . 17). 20) then reduces to T (J )+ KQ T (J )KQ . 22) J KQ This result shows that state multipoles T (J J )+ KQ with J = J describe the coherence between states with different angular momentum J . 17) shows that all multipoles with Q = 0 vanish. The corresponding density operator is then given by T (J J )+ K0 T (J J )K0 . 23) J JK Hence, the coherence between states with different quantum number M is characterized by the non-vanishing multipoles with Q = 0.

This yields Bexci (K ) = Bexci (K Q , Γ γ ) = × (−1)1+J +J0 +K 1 2 J d J0 2J0 + 1 1 1K δK ,Γ δQ ,γ . e. 48) apply. The restriction K ≤ 2 is again caused by the dipole approximation. In particular, we obtain the normalization parameter Bexci (0) = 1 (2J0 + 1) 3(2J + 1) J d J0 2 . 57) The state multipoles describing the intermediate excited atomic ensemble are therefore related to the state multipoles of the incoming photon beam by a similar relation as has been obtained for the case of photoionization.