Analysis of Schrodinger operators with inverse square potentials I: regularity results in 3D

Let V be a potential on R3 that is smooth everywhere except at a discrete set S of points, where it has singularities of the form Z/ 2, with (x) = |x − p| for x close to p and Z continuous on R3 with Z(p) > −1/4 for p 2 S. Also assume that and Z are smooth outside S and Z is smooth in polar coord...

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Bibliographic Details

Main Authors:	Eugenie Hunsicker, Hengguang Li, Victor Nistor, Ville Uski
Format:	Default Article
Published:	2012
Subjects:	Other mathematical sciences not elsewhere classified Regularity of eigenfunctions Schrodinger operator Eigenvalue approximations Inverse square potential Regularity Weighted Sobolev spaces Rate of convergence of numerical methods Solid state physics Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/17171
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