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arXiv 0912.2645hep-thquant-ph
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任意整数自旋的玻色-爱因斯坦凝聚理论:基于非对易量子力学的方法

Bose-Einstein condensation theory for any integer spin: approach based in noncommutative quantum mechanics

J. Gamboa, F. Mendez

摘要:

利用非对易量子力学方法研究了任意整数自旋的玻色-爱因斯坦凝聚理论。的有效电位推导出作为一个多极展开的非交换性参数($θ$),在二阶$θ$,我们的程序收益率的标准偶极-偶极相互作用与$θ^2$发挥的作用的强度相互作用参数。发现了含有非定域偶极贡献的广义Gross-Pitaevskii方程,对于$^{52}$ Cr同位素,$θ= C_{dd}/4π$变为$\sim 10^{-11}$ cm,因此对于这个值的$θ$,人们不能区分来自非对易性的相互作用和来自动力学起源的相互作用。

英文摘要:

A Bose-Einstein condensation theory for any integer spin using noncommutative quantum mechanics methods is considered. The effective potential is derived as a multipolar expansion in the non-commutativity parameter ($θ$) and, at second order in $θ$, our procedure yields to the standard dipole-dipole interaction with $θ^2$ playing the role of the strength interaction parameter. The generalized Gross-Pitaevskii equation containing non-local dipolar contributions is found. For $^{52}$Cr isotopes $θ= C_{dd}/4π$ becomes $\sim 10^{-11}$ cm and, thus for this value of $θ$ one cannot distinguish interactions coming from non-commutativity or those of dynamical origin.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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