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Heisenberg uncertainty inequality for certain Lie groups

University of Sfax, Higher Institute of Information Technology and Multimedia, Pôle Technologique de Sfax Route de Tunis Km 10 B.P. 242, Sfax, Tunisia

E-mail Address: Kais.Smaoui@isimsf.rnu.tn

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https://doi.org/10.1142/S1793557119500657Cited by:4 (Source: Crossref)

Abstract

We establish analogues of Heisenberg uncertainty inequality for some classes of Lie groups, such as connected and simply connected nilpotent Lie groups, diamond Lie groups and Heisenberg motion groups.

Communicated by L. A. Bokut

Keywords:

AMSC: Primary: 22E25, Secondary: 22E30, Secondary: 22D10

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