Uncertainty relations with the generalized Wigner–Yanase–Dyson skew information

• DOI: 10.1007/s11128-018-1906-x
• Publication Date: 2018-05-16T11:08:21Z
• Authors: Yajing Fan; Huaixin Cao; Wenhua Wang; Huixian Meng; Liang Chen
• Keywords: 0103 physical sciences; 01 natural sciences

The uncertainty principle in quantum mechanics is a fundamental relation with different forms, including Heisenberg's uncertainty relation and Schrodinger's uncertainty relation. We introduce the generalized Wigner---Yanase---Dyson correlation and the related quantities. Various properties of them are discussed. Finally, we establish several generalizations of uncertainty relation expressed in terms of the generalized Wigner---Yanase---Dyson skew information.