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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© 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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DOI: https://doi.org/10.1007/978-3-642-12248-4_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12247-7
Online ISBN: 978-3-642-12248-4
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