A regularity result for the bound states of N-body Schrödinger operators: blow-ups and Lie manifolds

URN to cite this document:: urn:nbn:de:bvb:355-epub-538398
DOI to cite this document:: 10.5283/epub.53839

Ammann, Bernd

; Mougel, Jérémy ; Nistor, Victor

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 22 Feb 2023 14:52

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Abstract

We prove regularity estimates in weighted Sobolev spaces for the L-2-eigenfunctions of Schrodinger-type operators whose potentials have inverse square singularities and uniform radial limits at infinity. In particular, the usual N-body Hamiltonians with Coulomb-type singular potentials are covered by our result: in that case, the weight is delta(F)(x):= min{d(x, boolean OR F), 1}, where d(x, ...