Yong Li

collaborators

Showing math-phShow all

2 papers · 1 filter

math-ph2025

Semiclassical scar on tori in high dimension

Huanhuan Yuan, Yong Li

We show that the eigenfunctions of the self-adjoint elliptic $h -$ differential operator $P_{h} (t)$ exhibits semiclassical scar phenomena on the $d -$ dimensional torus, under the $σ$ -…

math-ph2025

Quantum Birkhoff Normal Form in the $σ$ -Bruno-Rüssmann non-resonant condition

Huanhuan Yuan, Yixian Gao, Yong Li

The aim of this paper is to construct a Gevrey quantum Birkhoff normal form for the $h$ -differential operator $P_{h} (t),$ where $t \in (- \frac{1}{2}, \frac{1}{2})$ , in the neighborho…

Semiclassical scar on tori in high dimension

Quantum Birkhoff Normal Form in the σ-Bruno-Rüssmann non-resonant condition

Quantum Birkhoff Normal Form in the $σ$ -Bruno-Rüssmann non-resonant condition