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arXiv · 0902.0148

Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups

Ingrid Beltita·Daniel Beltita
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Abstract

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 grup 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.

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Ingrid Beltita, Daniel Beltita. 2009-02-01. Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups. https://arxiv.org/abs/0902.0148

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