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arxiv: 1412.2694 · v2 · pith:AUTWQ6WHnew · submitted 2014-12-08 · 🧮 math.CA

An inequality for a periodic uncertainty constant

classification 🧮 math.CA
keywords uncertaintyconstantperiodicclassfunctionsinequalitynon-periodicbound
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An inequality refining the lower bound for a periodic (Breitenberger) uncertainty constant is proved for a wide class of functions. A connection of uncertainty constants for periodic and non-periodic functions is extended to this class. A particular minimization problem for a non-periodic (Heisenberg) uncertainty constant is studied.

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