VNU Journal of Science Mathematics - Physics

Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables

Hung Quang Nguyen, Tu Quang Bui

Published Mar 15, 2017• 0 citations

Abstract

We show that the famous Heisenberg uncertainty relation for two incompatible observables can be generalized elegantly to the determinant form for N arbitrary observables. To achieve this purpose, we propose a generalization of the Cauchy-Schwarz inequality for two sets of vectors. Simple consequences of the N-ary uncertainty relation are also discussed. Keywords: Generalized uncertainty relation, Generalized uncertainty principle, Generalized Cauchy-Schwarz inequality.

DOI: 10.25073/2588-1124/vnumap.4075

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