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Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I [PDF]
, 1969 Charles I. Goldstein
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DELOCALIZATION OF SCHRÖDINGER EIGENFUNCTIONS
Proceedings of the International Congress of Mathematicians (ICM 2018), 2019 A hundred years ago, Einstein wondered about quantization conditions for classically ergodic systems. Although a mathematical description of the spectrum of Schrödinger operators associated to ergodic classical dynamics is still completely missing, a lot of progress has been made on the delocalization of the associated eigenfunctions.
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De-localization of Bond Eigenfunctions in π-Electronic Systems. I. Proposal of an Approximate Method for the Calculation of the π-Electronic States of Molecules [PDF]
, 1962 Shozaburo Takekiyo
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On Eigenfunction Expansions [PDF]
Proceedings of the National Academy of Sciences, 1953 openaire +3 more sources
Exponential decay of two-body eigenfunctions: A review
Electronic Journal of Differential Equations, 2000 We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
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De-localization of Bond Eigenfunctions in π-Electronic Systems. III. Non-Empirical Calculation of the π-Electronic States of the Vinyl Chloride Molecule [PDF]
, 1962 Shozaburo Takekiyo
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Neural Representation of Shape-Dependent Laplacian Eigenfunctions [PDF]
arXivThe eigenfunctions of the Laplace operator are essential in mathematical physics, engineering, and geometry processing. Typically, these are computed by discretizing the domain and performing eigendecomposition, tying the results to a specific mesh. However, this method is unsuitable for continuously-parameterized shapes.
arxiv
Eigenfunction expansions associated with an integral operator [PDF]
, 1965 Marvin Shinbrot
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