Home Forums first Hohenberg-Kohn theorem First Hohenberg-Kohn theorem

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    First Hohenberg-Kohn theorem says the ground-state energy from the Schorödinger equation is a unique functional of the Electron density.

    There is a one-to-one correspondence between the ground state density of a many-electron system and the external potential.

    The external potential (and hence the total energy), is a unique functional of the electron density.

    In the previous descriptions, “a unique functional of …” is the same as “a one-to-one correspondence between”. There are many ways to describe energy including ground-state energy, and external potential energy.

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