2 papers
math-ph2025
Semiclassical scar on tori in high dimension
Huanhuan Yuan, Yong Li
We show that the eigenfunctions of the self-adjoint elliptic differential operator exhibits semiclassical scar phenomena on the dimensional torus, under the -…
math-ph2025
Quantum Birkhoff Normal Form in the -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 -differential operator where , in the neighborho…