Related Experiment Video
Updated: Oct 11, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Unique continuation for the magnetic Schrödinger equation
Andre Laestadius1, Michael Benedicks2, Markus Penz3
1Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences University of Oslo Oslo Norway.
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.
Related Concept Videos
Divergence and Curl of Magnetic Field
Magnetostatic Boundary Conditions
Motion Of A Charged Particle In A Magnetic Field
Maxwell's Equation Of Electromagnetism
Magnetic Field due to Moving Charges
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Plane Electromagnetic Waves II

