Quantum cutting and a Szeg\"o limit theorem
Spectral Theory
2011-07-18 v2 Mathematical Physics
math.MP
Abstract
Given a representation of the circle group by semiclassical Fourier integral operators, we construct an algebra of semiclassical pseudodifferential operators that are a quantum analogue of the notion of symplectic cutting of Lerman, and we prove an associated Szeg\"o limit theorem.
Cite
@article{arxiv.0911.0388,
title = {Quantum cutting and a Szeg\"o limit theorem},
author = {G. Hernández-Dueñas and A. Uribe},
journal= {arXiv preprint arXiv:0911.0388},
year = {2011}
}
Comments
This paper has been withdrawn by the authors. This paper has been superseded by our paper arXiv:1105.5471