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The Linear Response Function. - Vrije Universiteit Brussel

The Linear Response Function. - Vrije Universiteit Brussel

The Linear Response Function. - Vrije Universiteit Brussel

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A Comment on “the nearsightedness of electronic matter”W. Kohn, PRL, 76, 3168, 1996E. Prodan, W. Kohn, PNAS, 102, 11635, 2005• For systems of many electrons and at constant µ∆ρ(r 0 ) induced by ∆v(r’) no matter how large with r’ outside sphere with radius R aroundr 0 will always be smaller than a maximum magnitude ∆ρ→ maximum response of the electron density will decay monotonously as a function of R.⎛δρ( r)⎞Importance of softness kernel ⎜δv ( r') ⎟⎝ ⎠ µ• r’r'-r 0>> RNo numerical applications to atomic or molecular systems yetPag.6-1-2012 39

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