Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps
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 stat...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-01-01
|
| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/201610801008 |
| id |
doaj-daf4ff3804ba433d84b3ca3dfad2c7f4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-daf4ff3804ba433d84b3ca3dfad2c7f42021-08-02T11:13:45ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011080100810.1051/epjconf/201610801008epjconf_mmcp2016_01008Mathematical Modeling of Ultracold Few-Body Processes in Atomic TrapsMelezhik V.S.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.http://dx.doi.org/10.1051/epjconf/201610801008 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Melezhik V.S. |
| spellingShingle |
Melezhik V.S. Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps EPJ Web of Conferences |
| author_facet |
Melezhik V.S. |
| author_sort |
Melezhik V.S. |
| title |
Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps |
| title_short |
Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps |
| title_full |
Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps |
| title_fullStr |
Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps |
| title_full_unstemmed |
Mathematical Modeling of Ultracold Few-Body Processes in Atomic Traps |
| title_sort |
mathematical modeling of ultracold few-body processes in atomic traps |
| publisher |
EDP Sciences |
| series |
EPJ Web of Conferences |
| issn |
2100-014X |
| publishDate |
2016-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1051/epjconf/201610801008 |
| work_keys_str_mv |
AT melezhikvs mathematicalmodelingofultracoldfewbodyprocessesinatomictraps |
| _version_ |
1721233393890361344 |