AIP conference proceedings

Two basic Uncertainty Relations in Quantum Mechanics

Andrey K. Angelow, Kouei Sekigawa, Vladimir Stefanov Gerdjikov, Yasuo Matsushita, Ivaïlo M. Mladenov

Published Jan 1, 2011• 0 citations

Abstract

In the present article, we discuss two types of uncertainty relations in Quantum Mechanics–multiplicative and additive inequalities for two canonical observables. The multiplicative uncertainty relation was discovered by Heisenberg. Few years later (1930) Erwin Schrödinger has generalized and made it more precise than the original. The additive uncertainty relation is based on the three independent statistical moments in Quantum Mechanics–Cov(q,p), Var(q) and Var(p). We discuss the existing symmetry of both types of relations and applicability of the additive form for the estimation of the total error.

DOI: 10.1063/1.3582747

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