Open AccessMathematical Modeling of Ultracold Few-Body Processes in Atomic Traps
Author(s) -
Vladimir S. Melezhik
Publication year - 2016
Publication title -
epj web of conferences
Language(s) - English
Resource type - Journals
eISSN - 2101-6275
pISSN - 2100-014X
DOI - 10.1051/epjconf/201610801008
Subject(s) - representation (politics) , product (mathematics) , statistical physics , ultracold atom , key (lock) , physics , element (criminal law) , variable (mathematics) , classical mechanics , theoretical physics , computer science , quantum mechanics , mathematics , geometry , mathematical analysis , quantum , computer security , politics , political science , law
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 Schrödinger equations with a few spatial variables. It turned out that this approach is very effcient in quantitative analysis of low-dimensional ultracold few-body systems arising in confined geometry of atomic traps. The effciency of the method is demonstrated here on two examples. A brief review is also given of novel results obtained recently