20-110 Pavel Exner and Takashi Ichinose

Note on a Product Formula Related to Quantum Zeno Dynamics (272K, pdf) Dec 30, 20

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. Given a nonnegative self-adjoint operator $H$ acting on a separable Hilbert space and an orthogonal projection $P$ such that $H_P := (H^{1/2}P)^*(H^{1/2}P)$ is densely defined, we prove that $\lim_{n ightarrow \infty} (P\,\mathrm{e}^{-itH/n}P)^n = \mathrm{e}^{-itH_P}P$ holds in the strong operator topology. We also derive modifications of this product formula and its extension to the situation when $P$ is replaced by a strongly continuous projection-valued function satisfying $P(0)=P$.

Files: 20-110.src( 20-110.comments , 20-110.keywords , zenoconv_fin.pdf.mm )