The Heisenberg Oscillator
Analysis of PDEs
2012-06-15 v2 Representation Theory
Spectral Theory
Abstract
In this short note, we determine the spectrum of the Heisenberg oscillator which is the operator defined as on the 3-dimensional Heisenberg group where stands for the positive sublaplacian and for the complex variable of a point of the group.
Cite
@article{arxiv.1108.3275,
title = {The Heisenberg Oscillator},
author = {Veronique Fischer},
journal= {arXiv preprint arXiv:1108.3275},
year = {2012}
}
Comments
9 pages; published in Bulletin of Mathematical Sciences, 2012