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- W2025076906 abstract "Abstract This paper concerns the one-particle problem when some of the eigenstates and their energies are initially known. In this work, we introduce an “ideal” problem in such a way that the physical problem appears to be equivalent to a “projection” of this “ideal” problem. We thus avoid in a simple way the difficulty introduced by the fact that the orthonormalized plane waves (O.P.W.) basis is overcomplete although it satisfies the closure relation. We recover the O.P.W. pseudopotential theory used in solid state physics and we get an illuminating interpretation of it in terms of projection. Then we also recover the complete orthonormalized plane waves (C.O.P.W.) pseudoequation we introduced in a recent paper and we give the connection between this pseudoequation and the O.P.W. pseudoequation. At last we show that, in the “ideal” formulation, the “ideal” operators corresponding to physical quantities can be constructed in a very simple way." @default.
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- W2025076906 date "1973-09-01" @default.
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- W2025076906 title "“Ideal” formulation of the one-particle problem when some eigenstates are initially known. Connection with O.P.W. and C.O.P.W. pseudopotential theories" @default.
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- W2025076906 doi "https://doi.org/10.1016/0031-8914(73)90100-6" @default.
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