Density functional methods form the basis of a diversified and very
active area of present days computational atomic, molecular, solid state
and even nuclear physics. A large number of computational physicists use
these meth- ods merely as a recipe, not reflecting too much upon their
logical basis. One also observes, despite of their tremendeous success,
a certain reservation in their acceptance on the part of the more
theoretically oriented researchers in the above mentioned fields. On the
other hand, in the seventies (Thomas- Fermi theory) and in the eighties
(Hohenberg-Kohn theory), density func- tional concepts became subjects
of mathematical physics. In 1994 a number of activities took place to
celebrate the thirtieth an- niversary of Hohenberg-Kohn-Sham theory. I
took this an occassion to give lectures on density functional theory to
senior students and postgraduates in the winter term of 1994,
particularly focusing on the logical basis of the the- ory. Preparing
these lectures, the impression grew that, although there is a wealth of
monographs and reviews in the literature devoted to density func- tional
theory, the focus is nearly always placed upon extending the practical
applications of the theory and on the development of improved approxima-
tions. The logical foundadion of the theory is found somewhat scattered
in the existing literature, and is not always satisfactorily presented.
This situation led to the idea to prepare a printed version of the
lecture notes, which resulted in the present text.