Fall 2023

Joint talk with Department Colloquium 

• Date: Friday, October 30 

• Time: 3:30 – 4:30 PM 

• Location: Math/Physics Bldg 3314 

• Speaker: Dr. Shijun Zheng (Georgia Southern University) 

• Title: Asymptotic Stability for Perturbed Quantum Solitons

• Abstract: The thesis of quantum mechanism is the wave-matter duality behavior which was evidenced in the BEC experiment (1995). The close observation of a single atom/molecule has been recently realized and measured by intense light pulse in the scale of attosecond (2018–23). Thus the modern theory of QM gives an interpretation not only at the atomic and subatomic level, about matters that consist of electrons, protons and neutrons, it also gives a physical interpretation of everything in daily life (micro-fabricated chips, high-precision inertial navigation, quantum machine learning and computing). Mathematical analysis, meanwhile, provides a rigorous foundation for QM, that serves as a guide and insightful penetrating tool and original method. In mathematical physics, soliton is a perfect phenomenon that reflects the fine balance between particles and waves. In this presentation, I shall address the stability for the solitary waves associated to the hamiltonian with higher-order dispersion in nonlinear Kerr media.