English

On the equation $Du+Xu=0$ and its relation to Schroedinger ground states

Mathematical Physics 2013-05-14 v1 math.MP

Abstract

We present some simple relations between the absolute minimizers of the functional Du+Xu||Du+Xu||, where XX is a vector field on RnR^n, and ground state solutions to the (non-relativistic) Schroedinger equation. This article is a byproduct of the study of the more general functional ADu+F(u)X||ADu+F'(u)X||.

Keywords

Cite

@article{arxiv.1305.2639,
  title  = {On the equation $Du+Xu=0$ and its relation to Schroedinger ground states},
  author = {Kurt Pagani},
  journal= {arXiv preprint arXiv:1305.2639},
  year   = {2013}
}