Abstract
We start with a short summary of the original version of the Hohenberg-Kohn theorem (1964) which was formulated for local, spin-independent external potentials leading to a non-degenerate ground state. The question of degenerate ground states is considered in the following subsection. The formulation of the basic theorem has led to a substantial body of literature (for recent reviews, see, e.g., Lieb, 1982, and Erdahl and Smith, 1987) addressing its rigorous mathematical foundation. This subject will be covered from a physicist’s point of view in the section on v-representability. Finally we shall describe an extension of the formalism to fractional particle number which leads to the recently discovered derivative discontinuities of the fundamental energy functional.
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© 1990 Springer-Verlag Berlin Heidelberg
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Dreizler, R.M., Gross, E.K.U. (1990). Basic Formalism for Stationary Non-Relativistic Systems. In: Density Functional Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86105-5_2
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DOI: https://doi.org/10.1007/978-3-642-86105-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-86107-9
Online ISBN: 978-3-642-86105-5
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