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askhetan

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https://www.uam.es/personal_pdi/ciencias/jcuevas/Talks/JC-Cuevas-DFT.pdf

Where i represents a certain electron, then what is(are) the meanings of x1, x2, etc (and likewise R1, R2, etc.). I know, they represent the coordinates of electron1, electron2, etc.. (and likewise nucleus1, nucleus2, etc) But those electrons do not have any coordinates in the first place. They have wave functions. Does it implicitly mean that x1 actually stands for the 'space dependent wave function of electron1' , and so on and so forth? I know its rather too simple but i can't get my head round what do the coordinates mean when there are no particles really which possesses fixed coordinates!

Thanks for your help in advance