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arXiv · 0904.4260

Big consequences of small changes (Non-locality and non-linearity of Hartree-Fock equations)

M. Ya. Amusia
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Abstract

It is demonstrated that non-locality and non-linearity of Hartree-Fock equations dramatically affect the properties of their solutions that essentially differ from solutions of Schr?dinger equation with a local potential. Namely, it acquires extra zeroes, has different coordinate asymptotic, violates so-called gauge-invariance, has different scattering phases at zero energy, has in some cases several solutions with the same set of quantum numbers, usually equivalent expressions of current and Green's functions became non-equivalent. These features result in a number of consequences for probabilities of some physical processes, leading e. g. to extra width of atomic Giant resonances and enhance considerably the ionization probability of inner atomic electrons by a strong field.

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M. Ya. Amusia. 2009-04-27. Big consequences of small changes (Non-locality and non-linearity of Hartree-Fock equations). https://doi.org/10.1002/ctpp.200910051

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