Uncertainty principles for magnetic structures on certain coadjoint orbits

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Beltita, Ingrid¹  Beltita, Daniel¹ 

[1] Simian Stoilow Romanian Acad, Inst Math, Bucharest, Romania

关键词: Weyl calculus;    Magnetic field;    Lie group;    Semidirect product;   

DOI  :  10.1016/j.geomphys.2009.09.007

来源: Elsevier

【 摘 要 】

By building on our earlier work, we establish uncertainty principles in terms of Heisenberg inequalities and of the ambiguity functions associated with magnetic structures on certain coadjoint orbits of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of nilpotent Lie groups and invariant function spaces thereon. The recently developed magnetic Weyl calculus is recovered in the special case of function spaces on abelian Lie groups. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free