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Remarks on Uncertainty Principles
Science, 1929Since the publication of Heisenberg’s paper1 on the “anschaulichen Inhalt” of quantum mechanics, discussions of the fundamental limitations on the accuracy of physical measurements have been much in the foreground. According to Heisenberg, the quantum mechanics implies that it is impossible to measure simultaneous values of a coordinate and its ...
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On Erb’s uncertainty principle
Studia Mathematica, 2016Summary: We improve a result of \textit{W. Erb} [J. Approx. Theory 166, 56--77 (2013; Zbl 1435.42019)] concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
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Wavepackets and the Uncertainty Principle
1987The properly normalized free-particle wave function is: $$ \psi _p \left( {x,t} \right) = \frac{1} {{\sqrt {2\pi } }}\exp \left\{ {i\left( {\frac{{px}} {\hbar } - \frac{{Et}} {\hbar }} \right)} \right\} $$ (4.1) (cf. Eq. (2.18))
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Relativity and the Uncertainty Principle
Physical Review, 1932Rosen, N., Vallarta, M. S.
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