Abstract
Several years ago Kohn and his collaborators1–5 proposed a new approach to study the properties of an interacting inhomogeneous electron system. It is similar in spirit to the Landau theory of Fermi liquids. Both theories try to study certain physical phenomena of an interacting Fermi system in terms of a few parameters. In a way, the two theories supplement each other. The Landau theory is after the single particle excitations, whereas the Kohn theory emphasizes the calculation of static properties and the total energy of the whole system. The basic quantity involved in the latter theory is the total electron density n(r). A review of this theory is given by Sham6 at this conference, and we shall refer the readers to his report, and to the references1–5 for the detailed description of this new approach.
Work completed at Physics Department, University of California, San Diego in 1967. It was partially supported by the U.S. Office of Naval Research.
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References
P. Hohenberg and W. Kohn, Phys. Rev. 136, B864, (1964)
D. Mermin, Phys. Rev. 137, A1441 (1965).
W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
L.J. Sham and W. Kohn, Phys. Rev. 145, 561 (1966).
W. Kohn, Many-body Theory, 1965 Tokyo Summer Lectures in Theoretical Physics, Part I, page 73–85. New York, W.A. Benjamin, 1966.
L.J. Sham, report at this conference.
B.Y. Tong and L.J. Sham, Phys. Rev. 144, 1 (1966), and manuscripts under preparation.
B.Y. Tong, Thesis, University of California, San Diego, (1967).
T.A. Koopman, Physica 1, 104 (1933).
B.H. Worsley, Can. J. Phys. 36, 289 (1958).
F.W. Brown, Phys. Rev. 44, 214 (1933).
J.B. Mann, private communication.
F.W. Worsley, Proc. Roy. Soc. (London) A247, 390 (1958).
F. Herman, and S. Skillman, Atomic Structure Calculation, New Jersey, Prentice-Hall, 1963.
E.P. Wigner and F. Seitz, Solid State Physics 1 97 (1955).
C.S. Barrett, Acta Cryst. 9, 671 (1956).
A.J. Hughes and J. Callaway, Phys. Rev. 136, A1390 (1964).
W. Kohn, Phys. Rev. 87, 472 (1952); Ibid. 96, 590 (1954).
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© 1971 Plenum Press, New York
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Tong, B.Y. (1971). Kohn-Sham Self-Consistent Scheme Applied to the Calculation of Atomic Systems and Metallic Sodium. In: Marcus, P.M., Janak, J.F., Williams, A.R. (eds) Computational Methods in Band Theory. The IBM Research Symposia Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1890-3_39
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