Metric space formulation of quantum mechanical conservation laws
Quantum Physics
2014-03-27 v1
Abstract
We show that conservation laws in quantum mechanics naturally lead to metric spaces for the set of related physical quantities. All such metric spaces have an "onion-shell" geometry. We demonstrate the power of this approach by considering many-body systems immersed in a magnetic field, with a finite ground state current. In the associated metric spaces we find regions of allowed and forbidden distances, a "band structure" in metric space directly arising from the conservation of the component of the angular momentum.
Keywords
Cite
@article{arxiv.1403.6677,
title = {Metric space formulation of quantum mechanical conservation laws},
author = {P. M. Sharp and I. D'Amico},
journal= {arXiv preprint arXiv:1403.6677},
year = {2014}
}