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Rayleigh principle for a subspace of a quantum system
Author(s) -
Srebrenik S.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560090847
Subject(s) - virial theorem , subspace topology , bounded function , charge (physics) , zero (linguistics) , bounded variation , quantum , variation (astronomy) , physics , quantum mechanics , classical mechanics , mathematics , mathematical physics , mathematical analysis , linguistics , philosophy , galaxy , astrophysics
We show that for one‐electron systems the “virial fragments,” fragments that are bounded by surfaces of zero flux in the gradient of the charge density, possess the natural boundaries required for the application of the theorems of the calculus of variation and the theorem of Hohenberg and Kohn.