Derivation of Position and Momentum Uncertainty Relation with Cauchy-Schwarz Inequality

Xie Yong · Dali Xueyuan xuebao · 2012

This paper introduces the derivation of position and momentum uncertainty relation from Cauchy-Schwarz inequality and the properties of Hermitian operator,and discusses this uncertainty relation.For a Gaussian wave function,the inequality of uncertainty relation will hold equality sign.

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