Abstract
Chapter 6 and (pages 169–178 in Chap. 7 containing) Sect. 7.3 have been concerned with the non-radiative, spontaneous decay of an inner-shell vacancy created in an atom in its photoionization. Consequently, at both of these places, properties of the Coulombic and of fine-structure entanglement of bipartite spin-states of a pair of (photoelectron e p, Auger electron e a) have, respectively, been investigated.
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Notes
- 1.
It, in a \(\vert J_{{1}^{{+}^{{\ast}}}}\,M_{J_{{ 1}^{{+}^{{\ast}}}}}\rangle\) representation of the excited photoion \({\mbox{ $\mathfrak{T}$}}^{1{+}^{{\ast}} }\), means (see, for example, [61, 68, 267]) different populations of \(\vert J_{{1}^{{+}^{{\ast}}}}\,M_{J_{{ 1}^{{+}^{{\ast}}}}}\rangle\) and \(\vert J_{{1}^{{+}^{{\ast}}}}\,- M_{J_{{ 1}^{{+}^{{\ast}}}}}\rangle\) fine-structure levels.
- 2.
Here, although levels \(\vert J_{{1}^{{+}^{{\ast}}}}\,M_{J_{{ 1}^{{+}^{{\ast}}}}}\rangle\) and \(\vert J_{{1}^{{+}^{{\ast}}}}\,- M_{J_{{ 1}^{{+}^{{\ast}}}}}\rangle\) have equal populations; the combined populations of these two levels is, however, different from those of \(\vert J_{{1}^{{+}^{{\ast}}}}\,M_{J_{{ 1}^{{+}^{{\ast}}}}}^{\,{\prime}}\rangle\) and \(\vert J_{{1}^{{+}^{{\ast}}}}\,- M_{J_{{ 1}^{{+}^{{\ast}}}}}^{\,{\prime}}\rangle\) (see, for example, [61, 68, 267]).
- 3.
This is well known to be -\(\sum _{i}Z{e}^{2}/r_{i}\) for an atom with atomic number Z and distance r i of the i-th electron from its nucleus.
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Chandra, N., Ghosh, R. (2013). Bipartite States of Photonic and Flying Electronic Qubits. In: Quantum Entanglement in Electron Optics. Springer Series on Atomic, Optical, and Plasma Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24070-6_8
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