报告人：张耀中 教授

(Dept of Math., Univ. of Queensland, Australia)

题  目: On the k-photon quantum Rabi model: its  Bargmann-Hilbert space and analytic solution

摘  要: The use of Hilbert spaces of entire functions (the Bargmann-Hilbert spaces) offers interesting and tractable methods for handling dynamical systems. In this talk we introduce new Bargmann-Hilbert spaces and apply them to analyze the k-photon Rabi model. We prove that the 2-photon Rabi model is defined in the suitable Hilbert space of entire functions only when the frequency and couple strength satisfy certain constraint. We obtain analytic representations of solutions to this model. Furthermore, we show that the k-photon Rabi model with k greater than or equal to 3 is undefined (i.e. does not have entire wave functions in the Bargmann-Hilbert space) for all model parameters.

时间： 2014年6月6日星期五下午4:00-5:00

地点： 浙江大学玉泉校区永谦数学大楼203