Existence of a Unique Local Solution to the Many-body Maxwell-Schr"odinger Initial Value Problem
Existence of a Unique Local Solution to the Many-body Maxwell-Schr"odinger Initial Value Problem
复制标题
多体Maxwell-Schr"odinger初值问题唯一局部解的存在性
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
K. Petersen
中科院分区：
文献类型：
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作者：
K. Petersen
研究带电粒子与自生电磁场相互作用的多体问题。我们用多体Maxwell-Schr“odinger系统来模拟粒子的动力学，其中粒子被量子力学处理，电磁场是经典量。我们证明了存在一个唯一的本地时间解决这个非线性初值问题，使用压缩映射参数。
We study the many-body problem of charged particles interacting with their self-generated electromagnetic field. We model the dynamics of the particles by the many-body Maxwell-Schr"odinger system, where the particles are treated quantum mechanically and the electromagnetic field is a classical quantity. We prove the existence of a unique local in time solution to this nonlinear initial value problem using a contraction mapping argument.