Fock空间上的测不准原理

Uncertainty principles for the Fock space

本文在复平面Fock空间F2上给出了测不准原理的一些形式.特别地,对F2中的单位向量f,有dist(f′+zf,[f])dist(f′-zf,[f])1,其中[f]=Cf为f张成的一维子空间.

In this note, we prove several versions of the uncertainty principle for the Fock space F2 in the complex plane. In particular, for any unit vector f in F2, we show that dist（f′＋ zf, [f ]） dist（f′- zf, [f]） 1,where [f ] = Cf is the one-dimensional subspace spanned by f.