abstract:In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper in classical invariant theory.
By making useofthe invarianttheory, the exactsolutionfora time-dependent system of double-wellBose-Einstein Condensate and correspondinggeometricphase areobtained.