Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger
Nonrelativistic limit from Maxwell-Klein-Gordon and Maxwell-Dirac to Poisson-Schrödinger
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DOI：
10.1155/s107379280320310x
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发表时间：
2003
影响因子：
1
通讯作者：
N. Masmoudi;K. Nakanishi
中科院分区：
文献类型：
--
作者：
N. Masmoudi;K. Nakanishi
我们证明，在能量空间的强拓扑中，对于第一系统和第二系统，当光速趋于无穷大时，麦克斯韦-克莱因-戈登方程组和麦克斯韦-狄拉克方程组的解可以用耦合的泊松方程组和薛定谔方程组来描述。在极限下恢复的两个薛定谔-泊松系统存在一些可以从物理上解释的差异。
We show that solutions for the system of Maxwell-Klein-Gordon and Maxwell-Dirac equations can be described by using a system of coupled Poisson and Schrödinger equations as the speed of lightctends to infinity, in the strong topology of the energy space, which isfor the first system andfor the second system. The two Schrödinger-Poisson systems recovered at the limit present some differences which can be interpreted physically.