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Exact differential equation for the density and ionization energy of a many-particle systemThe present investigation is concerned with relations studied by Hohenberg and Kohn (1964) and Kohn and Sham (1965). The properties of a ground-state many-electron system are determined by the electron density. The correct differential equation for the density, as dictated by density-functional theory, is presented. It is found that the ground-state density n of a many-electron system obeys a Schroedinger-like differential equation which may be solved by standard Kohn-Sham programs. Results are connected to the traditional exact Kohn-Sham theory. It is pointed out that the results of the current investigations are readily extended to spin-density functional theory.
Document ID
19850032073
Document Type
Reprint (Version printed in journal)
Authors
Levy, M. (California Univ. Santa Barbara, CA, United States)
Perdew, J. P. (California, University Santa Barbara, CA; Tulane University, New Orleans, LA, United States)
Sahni, V. (California, University Santa Barbara, CA; Brooklyn College, Brooklyn, NY, United States)
Date Acquired
August 12, 2013
Publication Date
November 1, 1984
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 30
ISSN: 0556-2791
Subject Category
ATOMIC AND MOLECULAR PHYSICS
Funding Number(s)
CONTRACT_GRANT: NSF DMR-80-16117
CONTRACT_GRANT: NSF PHY-77-27084
Distribution Limits
Public
Copyright
Other