Some Remarks About Semiclassical Trace Invariants and Quantum Normal Forms
Mathematical Physics
2015-05-13 v1 Analysis of PDEs
math.MP
Abstract
In this paper we explore the connection between semi-classical and quantum Birkhoff canonical forms (BCF) for Schrodinger operators. In particular we give a "non-symbolic" operator theoretic derivation of the quantum Birkhoff canonical form and provide an explicit recipe for expressing the quantum BCF in terms of the semi-classical BCF.
Cite
@article{arxiv.0901.2994,
title = {Some Remarks About Semiclassical Trace Invariants and Quantum Normal Forms},
author = {Victor Guillemin and Thierry Paul},
journal= {arXiv preprint arXiv:0901.2994},
year = {2015}
}