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

J4 ›› 2012, Vol. 11 ›› Issue (4): 25-27.

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

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.

College of Engineering, Dali University, Dali, Yunnan 671003, China

Received:2011-09-15 Online:2012-04-15 Published:2012-04-15

Abstract

CLC Number:

O413.1

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

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