量子概率论及相关问题

With the support of this grant, we have mainly investigated some problems concerning the applications of probability in quantum mechanics. The symmetries of a free Bose field are implemented via generalized operators in white noise functional spaces. The theory of measurement in qunatum mechanics is studied from an informational perspective, and the Heisenberg uncertainty relations are characterized by virtue of Fisher.information from various aspects. The sinusodial law of photon polarization.is derived from the principle of minimum Fisher information. A general criterion of quantum Zeno effect is obtained.

该项目研究1）福克空间上维克演算与量子随机分析，2）算子代数上概率论及微分方程，3┰硕荷系姆墙换患薅ɡ恚?）非高斯分析及基于对称希尔伯特空间上核运算的普阿松分析，5）量子概率论在量子物理特别是量子统计力学中的应用。本项目是经典概率论，群表韭郏阕哟傲孔恿ρ嗷ソ岷虾蜕傅牟铮哂兄匾睦砺奂壑岛陀τ靡庖濉