# Search results for: C. L. Fefferman

*N*quantized electrons at positions

*x*

_{i}, and

*M*nuclei of charges

*Z*= (

*Z*

_{1},...,

*Z*

_{M}) fixed at positions

*y*= (

*y*

_{l},...,

*y*

_{M}). The Schrödinger Hamiltonian of such a system is given by ${H}_{Z,H}=\sum _{i=1}^{N}\left(-{\Delta}_{{x}_{i}}+{V}_{Coulomb}\left({x}_{i}\right)\right)+\frac{1}{2}\sum _{i\ne j}\frac{1}{\left|{x}_{i}-{x}_{j}\right|}$]]</EquationSource><EquationSource Format="TEX"><![CDATA[$${H_{Z,H}}...

Annals of PDE > 2016 > 2 > 2 > 1-80

*e.g.*Schrödinger, Maxwell, which is propagating (plane-wave-like) parallel to, and localized transverse to, a line-defect or “edge”. Topologically protected edge states are edge states which are stable against spatially localized (even strong) deformations of the edge. First studied in the context of the quantum Hall effect,...