讲座题目：REDUCIBILITY OF 1-D QUANTUM HARMONIC OSCILLATOR EQUATION WITH BOUNDED OSCILLATION PERTURBATIONS
讲座人：梁振国 副教授 复旦大学
时间：2019/4/19 14:00:00
地点：数学楼307
摘要：The stability of the quantum harmonic oscillator is a long standing problem since the establishment of quantum mechanics. More clearly, if one perturbs slightly a quantum system whose unitary evolution operator has pure-point spectrum, will the resulting evolution operator still have pure-point spectrum? KAM is one of powerful tools to handle this kind of problems. In this talk we will present a new theorem, which can be applied to the linear time - dependent oscillatory perturbations of the quantized harmonic oscillator. The novelty of the new theorem comparing with other results is that the perturbation terms are only oscillatory and we don’t need the decaying conditions on the space variable x. It gives an answer for Eliasson’s problem when the perturbation is only oscillatory.