Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups
Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups
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幂零李群上的磁赝微分 Weyl 演算
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
D. Beltiţă
中科院分区：
文献类型：
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作者：
I. Beltiţă;D. Beltiţă
我们开发了一个伪微分Weyl演算幂零李群，它允许一个处理右不变向量场的磁扰动。为此，我们研究了由幂零李群与其上的适当函数空间的半直积构成的无限维李群。我们挑出一个适当的coadjoint轨道的半直积和构造我们的伪微分作为Weyl量子化的轨道。
We develop a pseudo-differential Weyl calculus on nilpotent Lie groups, which allows one to deal with magnetic perturbations of right invariant vector fields. For this purpose, we investigate an infinite-dimensional Lie group constructed as the semidirect product of a nilpotent Lie group and an appropriate function space thereon. We single out an appropriate coadjoint orbit in the semidirect product and construct our pseudo-differential calculus as a Weyl quantization of that orbit.