Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this work  present a very effi cient way of solving a spinor version of a time-dependent Gross-Pitaevskii equation (GP). The method  use is a modification of the ll known Spli t Operator Method (SOM) - applied to the case of F = 1 spinor Bose-Einstein condensates.  focus here on F = 1 case for an educational purpose only - the extension to higher values of F is straightforward. Our extension of the SOM to the spinor version has many advantages: it is fast, stable, and keeps constant all the physical constrain ts (constants of motion) at very high level.
['Krzysztof Gawryluk', 'Tomasz Karpiuk', 'Mariusz Gajda', 'Kazimierz Rzazewski', 'Miroslaw Brewczyk']
I am writing a research paper on a idea Extended Split Operator method as an efficient way for computing dynamics of a spinor F=1 Bose-Einstein condensate
[{"from": "human", "value": "I am writing a research paper on a idea Extended Split Operator method as an efficient way for computing dynamics of a spinor F=1 Bose-Einstein condensate"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this work  present a very effi cient way of solving a spinor version of a time-dependent Gross-Pitaevskii equation (GP). The method  use is a modification of the ll known Spli t Operator Method (SOM) - applied to the case of F = 1 spinor Bose-Einstein condensates.  focus here on F = 1 case for an educational purpose only - the extension to higher values of F is straightforward. Our extension of the SOM to the spinor version has many advantages: it is fast, stable, and keeps constant all the physical constrain ts (constants of motion) at very high level."}]