English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Unique continuation for the magnetic Schrödinger equation

MPS-Authors
/persons/resource/persons225856

Penz,  M.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

qua.26149.pdf
(Publisher version), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Laestadius, A., Benedicks, M., & Penz, M. (2020). Unique continuation for the magnetic Schrödinger equation. International Journal of Quantum Chemistry, 120(8): e26149. doi:10.1002/qua.26149.


Cite as: https://hdl.handle.net/21.11116/0000-0005-F2CC-4
Abstract
The unique‐continuation property from sets of positive measure is here proven for the many‐body magnetic Schrödinger equation. This property guarantees that if a solution of the Schrödinger equation vanishes on a set of positive measure, then it is identically zero. We explicitly consider potentials written as sums of either one‐body or two‐body functions, typical for Hamiltonians in many‐body quantum mechanics. As a special case, we are able to treat atomic and molecular Hamiltonians. The unique‐continuation property plays an important role in density‐functional theories, which underpins its relevance in quantum chemistry.