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Convergence Rates and Complexity Bounds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2000)

Abstract

We have seen in the previous chapter that the expansion of a solution of the 3N-dimensional electronic Schrödinger equation for eigenvalues below the ionization threshold into correspondingly antisymmetrized products of eigenfunctions of three-dimensional Schrödinger-like operators (7.1) with sufficiently fast increasing potentials converges very rapidly, provided that the three-dimensional eigenvalues tend sufficiently fast to infinity. This chapter is devoted to the quantitative study of this convergence behavior.

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Correspondence to Harry Yserentant .

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© 2010 Springer Berlin Heidelberg

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Yserentant, H. (2010). Convergence Rates and Complexity Bounds. In: Regularity and Approximability of Electronic Wave Functions. Lecture Notes in Mathematics(), vol 2000. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12248-4_8

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