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By using star product method, the He-McKellar-Wilkens (HMW) effect for spin-one neutral particle on noncommutative (NC) space is studied. After solving the Kemmer-like equations on NC space, we obtain the topological HMW phase on NC space where the additional terms related to the space-space non-commutativity are given explicitly. 相似文献
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This work provides an accurate study of the spin-l/2 relativistic particle in a magnetic field in NC phase space. By detailed calculation we find that the Dirac equation of the relativistic particle in a magnetic field in noncommutative space has similar behaviour to what happens in the Landau problem in commutative space even if an exact map does not exist. By solving the Dirac equation in NC phase space, we not only obtain the energy level of the spin-1/2 relativistic particle in a magnetic field in NC phase space but also explicitly offer some additional terms related to the momentum-momentum non-commutativity. 相似文献
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Klein-Gordon oscillators in noncommutative phase space 总被引:1,自引:0,他引:1
We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly. 相似文献
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首先介绍了对易空间中的Wigner函数和Moyal本征方程,然后从Moyal-Weyl乘法出发并利用Bopp变换,得到了非对易相空间中Wigner函数所服从的Moyal方程;最后以谐振子相干态为例,通过重新定义的升降算符得到了非对易相空间中谐振子相干态的Wigner函数. 相似文献
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耗散拟线性双曲型方程组的整体光滑解及其奇性形成 总被引:3,自引:0,他引:3
一类带耗散项的拟线性双曲型方程组,曾为T.Nishida所首次研究。本文在sign(λw)w'_o(x)≥0和sign(μz)z'_o(x)≥0的情况下,得到只要假定初始值的振幅充分小,而无需假定初始值满足小性条件,则上述方程组的柯西问题存在整体光滑解。另外,用多方气体气动力学模型作为一个反例,表明如果初始数据的振幅充分大,则在这种情况下将产生爆裂波。 相似文献
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首先回顾了有磁荷(或等效磁荷)存在的情况下电磁场双四维势的描述方法,给出了场强与双四维势的关系以及具有电磁对偶对称性的Maxwell方程;利用Green函数法求出了场方程具有Lorentz变换协变性的推迟解;最后给出了广义李纳-魏谢尔势的表述形式. 相似文献
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非对易相空间中角动量的分裂 总被引:10,自引:0,他引:10
非对易空间效应是一种在弦尺度下出现的物理效应. 本文首先介绍了在Schwinger表象中角动量的3个分量用产生--消灭算符的表示形式, 接着讨论了非对易相空间的量子力学代数; 然后用对易空间谐振子的产生-消灭算符表示出了在非对易情况下的角动量; 最后讨论了非对易相空间中角动量的分裂. 相似文献
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The He-McKellar-Wilkens (HMW) effect in non-commutative (NC) space is studied. By solving the Dirac equations on NC space, we obtain topological HMW phase in NC space where the additional terms related to the space non-commutativity are given explicitly. 相似文献