A generalization of Schrödinger's uncertainty relation described by the Wigner---Yanase skew information

The uncertainty principle in quantum mechanics is a fundamental relation with different forms, including Heisenberg's uncertainty relation and Schrodinger's uncertainty relation. We discuss the generalized Wigner---Yanase correlation and the generalized covariance of operators and establish a generalization of Schrodinger's uncertainty relation expressed in terms of Wigner---Yanase information.