Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps

摘要

We discuss computational aspects of the developed mathematical models for ultracold few-body processes in atomic traps. The key element of the elaborated computational schemes is a nondirect product discrete variable representation (npDVR) we have suggested and applied to the time-dependent and stationary Schr?dinger equations with a few spatial variables. It turned out that this approach is very efficient in quantitative analysis of low-dimensional ultracold few-body systems arising in confined geometry of atomic traps. The efficiency of the method is demonstrated here on two examples. A brief review is also given of novel results obtained recently.