Prog. Theor. Phys. Vol. 92 No. 4 (1994) pp. 833-862
Density Functional Theory through Legendre Transformation
Department of Physics, Faculty of Science and Technology,
Keio University, Yokohama 223
*Department of Material Physics, Faculty of Engineering Science,
Osaka University, Toyonaka 560
(Received May 16, 1994)
Theoretical foundation of density functional theory in terms of field theoretical Legendre transformation is presented. The ground state energy is first written as a functional of local probe coupled to the density operator. The density functional is then defined by the functional Legendre transformation, which leads to a systematic formulation of density functional theory. Excitation spectrum is also determined within the same formalism in a unified way. The diagrammatic evaluation is most conveniently done by using auxiliary field method. Several generalizations of the formalism and extension to the case other than the density operator are also discussed.
DOI : 10.1143/PTP.92.833
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Citing Article(s) :
Progress of Theoretical Physics Supplement No.121 (1995) pp. 1-428
Novel Use of Legendre Transformation in Field Theory and Many Particle Systems
Reijiro Fukuda, Masahiro Komachiya, Satoshi Yokojima, Yoko Suzuki, Ko Okumura and Takeshi Inagaki