Noncommutative Anandan Quantum Phase

Anandan effect is a summary description of the neutral particles with spin moving in an stable Electromagnetic field effects.It is also complex compound physical effects.Especially for physics effect problems.it renders simple physical meaning and rich features.Ever since the relationship between String Theory and Non-commutative Theory was revealed.researches on various physical problems in the non-commutative space have attracted great attention in the theoretical physics.We know that the emergence of the non-commutative effects of spatial coordinates makes the space no longer commutativeln the string scale.In this paperwe divided it into two cases are discussed.One situation is the non-commutative space,where spatial coordinates do not commutate with each other while momentums still spatial coodinates non-momentums commutate with their counterparts.This paper deals with the mainly focused on the following two specific models:the Anandan quantum phase for spin-1/2 and:the Anandan quantum phase for spin-1.We mainly solve the two sorts of neutral particles Anandan quantum phase::the Anandan quantum phase for spin-1/2 and:the Anandan quantum phase for spin-1.When it comes to the non-commutative space and non-commutative phase space,we used the Bopp shift in both cases to solve the Anandan quantum phase.As in NC space and NC phase space,the moving equation of the neutral particles both contain star multiplication,which is equivalent to Bopp shift.Taking advantage of Bopp shift makes the process of solving the original complex simple and straightforward.