Mixed quantization and partial hyperbolicity
Dynamical Systems
2025-04-02 v2 Analysis of PDEs
Differential Geometry
Spectral Theory
Abstract
We establish stable quantum ergodicity for spin Hamiltonians, also known as Pauli-Schr\"odinger operators. Our approach combines new analytic techniques of mixed quantization, inspired by local index theory, with stable ergodicity results for partially hyperbolic systems.
Keywords
Cite
@article{arxiv.2409.13660,
title = {Mixed quantization and partial hyperbolicity},
author = {Snir Ben Ovadia and Qiaochu Ma and Federico Rodriguez-Hertz},
journal= {arXiv preprint arXiv:2409.13660},
year = {2025}
}