Generalized analogs of the Heisenberg uncertainty inequality
Firstly, the authors prove a generalized analog of the Heisenberg uncertainty inequality for \(\mathbb R^n\times K\), where \(K\) is a seperable unimodular locally compact group of type of \(I\). Then they investigate another generalized analog of the Heisenberg uncertainty inequality for the group \(M(n)\), the Euclidean motion group. Lastly, for a class of connected, simply connected nilpotent Lie groups, they prove the Heisenberg uncertainty inequality. Then they give examples of the Heisenberg uncertainty inequality for thread-like nilpotent Lie groups, 2-NPC nilpotent Lie groups, simply connected nilpotent Lie groups and low-dimensional nilpotent Lie groups of dimensions less than or equal to 6.
scientific article; zbMATH DE number 6561531