Generalized uncertainty inequalities

Details Generalized uncertainty inequalities Generalized uncertainty inequalities

2008-04-05

arxiv.org/abs/0804.0870v1

Mathematics

Functional Analysis

19 pages

Scientific paper

10.1007/s00209-009-0544-5

In this paper, Heisenberg-Pauli-Weyl-type uncertainty inequalities are obtained for a pair of positive-self adjoint operators on a Hilbert space, whose spectral projectors satisfy a ``balance condition'' involving certain operator norms. This result is then applied to obtain uncertainty inequalities on Riemannian manifolds, Riemannian symmetric spaces of non-compact type, homogeneous graphs and unimodular Lie groups with sublaplacians.

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