E'=<"H"><<|H4>=<H-(V-V4>=<4H[4>-<4I V- V[4">=E-<V- V'I4'>(**)E'<E-{dr(V-V')p(r)Sum of eqs (*) and (**), we haveE+E'<E+E”The conclusion is wrongSo the theorem is right
E' E dr(V V')(r) (**) Sum of eqs (*) and (**), we have: E + E’ < E+ E’ The conclusion is wrong. So the theorem is right. E’ = <’|H’|’> < <|H’|> = <| H – (V - V’ )|> = <| H |> - <’| V - V’ |’> = E - <’| V - V’ |’>
(1)Insteadofdealingwiththeformidable3Ndegreesoffreedom,only3degreesoffreedomare necessary to be studied in anyphysical or chemical system since the electron densitynormallyisa3-dimensionalvariable.This theorem grantees that a quantum theory based on the particle density is not onlypossible but also promising.(2) The nuclear geometry => V(r) => p(r) => HIt determines the physical and chemical nature of the systemStructuredetermineeverything
(1)Instead of dealing with the formidable 3N degrees of freedom, only 3 degrees of freedom are necessary to be studied in any physical or chemical system since the electron density normally is a 3-dimensional variable. This theorem grantees that a quantum theory based on the particle density is not only possible but also promising. (2) The nuclear geometry => V(r) => (r) => H It determines the physical and chemical nature of the system. Structure determine everything