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- W2231657412 abstract "A general theory of preparational uncertainty relations for a quantum particle in one spatial dimension is developed. We derive conditions which determine whether a given smooth function of the particle's variances and its covariance is bounded from below. Whenever a global minimum exists, an uncertainty relation has been obtained. The squeezed number states of a harmonic oscillator are found to be universal: no other pure or mixed states will saturate any such relation. Geometrically, we identify a convex uncertainty region in the space of second moments which is bounded by the inequality derived by Robertson and Schr{o}dinger. Our approach not only unifies existing uncertainty relations but also leads to new inequalities for second moments." @default.
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- W2231657412 date "2016-08-08" @default.
- W2231657412 modified "2023-10-02" @default.
- W2231657412 title "Universality in uncertainty relations for a quantum particle" @default.
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- W2231657412 doi "https://doi.org/10.1088/1751-8113/49/35/355303" @default.
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