Chinese Journal of Chemical Education

Cauchy-Schwartz Inequality and the Uncertainty Relation

Yan Zeng

Published Jan 1, 2014• 0 citations

Abstract

The famous Cauchy-Schwarz inequality is deduced from the fundamental unequal relationship in different spaces in the nature.Considering the linear Hermitian property of the state physical operators on the Hilbert space,the uncertainty relation is derived by applying the inequality to the quantum system of microcosm.The significance of the uncertainty relation which is the objective report of the wave-particle duality of the microscopic particle and the basis for keeping the stability of atoms and even the whole world is discussed.

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