A variational characterization of Einstein-Brillouin-Keller quantization
Symplectic Geometry
2025-07-11 v1
Abstract
In this paper we explain how to construct the EBK spectrum from the marked action spectrum and derive a minimax formula for concave toric domains. In the special case of the billiard on the disk we show that while the action spectrum is algebraic the EBK spectrum has infinite transcendence degree under the assumption that Schanuel's conjecture is true.
Cite
@article{arxiv.2401.14223,
title = {A variational characterization of Einstein-Brillouin-Keller quantization},
author = {Kai Cieliebak and Urs Frauenfelder},
journal= {arXiv preprint arXiv:2401.14223},
year = {2025}
}
Comments
19 pages