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Rayleigh, J.W.W. (1894/1896) The Theory of Sound. 2nd Edition, London, 339-340.

has been cited by the following article:

• TITLE: The Uncertainty Principle in Terms of Isoperimetric Inequalities

  AUTHORS: Thomas Schürmann

  KEYWORDS: Uncertainty Principle, Dirichlet Eigenvalue, Wirtinger Inequality

  JOURNAL NAME: Applied Mathematics, Vol.8 No.3, March 24, 2017

  ABSTRACT: Simultaneous measurements of position and momentum are considered in n dimensions. We find, that for a particle whose position is strictly localized in a compact domain (spatial uncertainty) with non-empty boundary, the standard deviation of its momentum is sharply bounded by , while is the first Dirichlet eigenvalue of the Laplacian on D.