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dRic2
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- Homework Statement
- For any one-electron problem one can readily determine whether or not any given density is a possible ground state density. Using the known properties of solutions of the schrodinger equation, give a sufficient set of condition that any function must satisfy in order to guarantee that it is the ground state density of some potential.
Show that it is not possible to construct the density of the 2s state of the hydrogen atom (1 proton 1 electron) as the ground state of any smooth potential, i.e. one without delta functions.
- Relevant Equations
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I've been think about it for hours but I'm really out of clue here... The only things I could think of are obvious or useless... Any help would be greatly appreciated.