On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets
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关于哈密顿系统投影仪的使用及其与狄拉克括号的关系
DOI：
10.1088/1751-8113/46/12/125203
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
P. Morrison
中科院分区：
文献类型：
--
作者：
C. Chandre;L. de Guillebon;A. Back;E. Tassi;P. Morrison
分析了约束哈密顿系统中与泊松括号相关的投影子的作用。投影仪在括号中的两个实例中起作用：在变量的显式依赖性和函数导数的计算中。这些投影仪的作用进行了调查，使用狄拉克的理论约束哈密顿系统。从等离子体物理的三个例子：磁流体力学，Vlasov-Maxwell系统，和线性两种Vlasov系统与准中性的结果进行了说明。
The role of projectors associated with Poisson brackets of constrained Hamiltonian systems is analyzed. Projectors act in two instances in a bracket: in the explicit dependence on the variables and in the computation of the functional derivatives. The role of these projectors is investigated by using Dirac’s theory of constrained Hamiltonian systems. Results are illustrated by three examples taken from plasma physics: magnetohydrodynamics, the Vlasov–Maxwell system, and the linear two-species Vlasov system with quasineutrality.