Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups

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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.
24 pages

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Mathematical Physics, Analysis of PDEs, 47G30; 22E25; 22E65; 35S05

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http://salesiana.dossiersoluciones.com/handle/123456789/218252

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.0148
 http://arxiv.org/abs/0902.0148

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arXiv