I am trying to teach myself DFT (yet again) from books and my maths is only improving at a modest pace to understand how people calculate using QM. So a very basic question now. When a Hamiltonian for a many body system is written as given in page 8 on this presentation.(adsbygoogle = window.adsbygoogle || []).push({});

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 possess fixed coordinates!

Thanks for your help in advance

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Very basic question on Hamiltonian representation?

Loading...

Similar Threads for Very basic question |
---|

I What basically is Klein tunneling ? |

I Indices of a Density Matrix |

I Two coherent sources |

I For a particle on a sphere, is zero energy possible? |

B Some very basic questions around the double slit experiment |

**Physics Forums | Science Articles, Homework Help, Discussion**