Theory of Atomic, Molecular, and Optical Processes

发展了非微扰理论和实用数值方法，并应用于外场中高激发态原子的量子结构和动力学的研究。具体考虑的是里德堡原子在圆极化微波场和抗磁和共振结构在静态磁场中的动力学。所使用的方法包括使用准能量形式主义，耦合到Lanczos和/或人工智能算法，使用离散变量表示，快速傅立叶变换方法和复杂的缩放。

Non perturbative theoretical and practical numerical techniques are developed and applied to studies of the quantum structure and dynamics of highly excited atoms in external fields. Specifically considered are the dynamics of Rydberg atoms in a circularly polarized microwave field and the diamagnetic and resonance structure in static magnetic fields. The methods used include the use of a quasi-energy formalism, coupled to the Lanczos and/or artificial intelligence algorithm using discrete variable representations, fast Fourier transform methods and complex scaling.