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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https://hdl.handle.net/2134/17171

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