Discrete Uncertainty Principles and Virial Identities

Aingeru Fernández-Bertolin

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arXiv · 1402.5016

Discrete Uncertainty Principles and Virial Identities

Aingeru Fernández-Bertolin

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Abstract

In this paper we review the Heisenberg uncertainty principle in a discrete setting and, as in the classical uncertainty principle, we give it a dynamical sense related to the discrete Schr\"odinger equation. We study the convergence of the relation to the classical uncertainty principle, and, as a counterpart, we also obtain another discrete uncertainty relation that does not have an analogous form in the continuous case. Moreover, in the case of the Discrete Fourier Transform, we give a inequality that allows us to relate the minimizer to the Gaussian.

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BibTeX RIS

Aingeru Fernández-Bertolin. 2014-02-20. Discrete Uncertainty Principles and Virial Identities. https://arxiv.org/abs/1402.5016

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