Year: 2024
Type: preprint
Abstract: In this paper, we study high-dimensional nonlinear quantum harmonic oscillator equation. We show the equation admits many time quasi-periodic solutions by establishing an abstract infinite dimensional KAM theorem with multiple normal frequencies. The proof is based on the classical KAM scheme, and the key is a decaying structure of Hessian matrices of Hamiltonian functions.
Source: arXiv (Cornell University)
Authors: Liu, Jianjun, Qi, Caihong, Shi, Guanghua
Institutions: Sichuan University, Hunan Normal University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4401201694