A Geometric Picture of the Wave Function: Fermi's Trick
Quantum Physics
2012-08-07 v1 Mathematical Physics
math.MP
Popular Physics
Abstract
We show that there is a one-to-one correspondence between wave functions and surfaces in the position-momentum phase plane bounded by a closed curve satisfying an exact quantum condition refining the usual EBK condition. This is achieved using an old forgotten idea of Enrico Fermi.
Cite
@article{arxiv.1208.0908,
title = {A Geometric Picture of the Wave Function: Fermi's Trick},
author = {Maurice A. de Gosson},
journal= {arXiv preprint arXiv:1208.0908},
year = {2012}
}