Fock空间上的测不准原理

2015Scientia Sinica MathematicaMathematics被引 19开放获取

摘要

In this note, we prove several versions of the uncertainty principle for the Fock space <italic>F</italic><sup>2</sup> in the complex plane. In particular, for any unit vector <italic>f</italic> in <italic>F</italic><sup>2</sup>, we show that dist(<italic>f</italic>'+<italic>zf</italic>, [<italic>f</italic>])dist(<italic>f</italic>'-<italic>zf</italic>, [<italic>f</italic>])≥1, where [<italic>f</italic>]=C<italic>f</italic> is the one-dimensional subspace spanned by <italic>f</italic>.

引用本文（GB/T 7714）

Yong Chen, Kehe Zhu. Fock空间上的测不准原理[J]. Scientia Sinica Mathematica, 2015.

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DOI：https://doi.org/10.1360/n012015-00057

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