Generalized analogs of the Heisenberg uncertainty inequality

Springer Science and Business Media LLC - 2015
Ashish Bansal1, Ajay Kumar2
1Department of Mathematics, Keshav Mahavidyalaya, University of Delhi, Delhi, India
2Department of Mathematics, University of Delhi, Delhi, India

Tóm tắt

We investigate locally compact topological groups for which a generalized analog of the Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^{n} \times K$ (where K is a separable unimodular locally compact group of type I), Euclidean motion group and several general classes of nilpotent Lie groups which include thread-like nilpotent Lie groups, 2-NPC nilpotent Lie groups and several low-dimensional nilpotent Lie groups.

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