The role of final state correlation in double ionization of helium: a master equation approach [article]

Sølve Selstø, Tore Birkeland, Simen Kvaal, Raymond Nepstad, Morten Førre
2010 arXiv   pre-print
The process of nonsequential two-photon double ionization of helium is studied by two complementary numerical approaches. First, the time-dependent Schrödinger equation is solved and the final wave function is analyzed in terms of projection onto eigenstates of the uncorrelated Hamiltonian, i.e., with no electron-electron interaction included in the final states. Then, the double ionization probability is found by means of a recently developed approach in which the concept of absorbing
more » ... s has been generalized to apply to systems consisting of more than one particle. This generalization is achieved through the Lindblad equation. A model of reduced dimensionality, which describes the process at a qualitative level, has been used. The agreement between the methods provides a strong indication that procedures using projections onto uncorrelated continuum states are adequate when extracting total cross sections for the direct double ionization process.
arXiv:1006.1984v2 fatcat:e7l7ffxb3fe2behaevdupe5fpq