%0 Journal Article %T A Universally Valid Uncertainty Relation Revisited %A Yoshimasa Kurihara %J Physics %D 2012 %I arXiv %X A universally valid uncertainty relation proposed by Ozawa is re-investigated under for the generalized equation of motion with some boundary condition. Necessary conditions for violation (lessening) of the Heisenberg-type uncertainty relation is discussed in detail. An experimental test of lessening of the generalized uncertainty relation due to the boundary condition is shown by re-analyzing the data measuring electron densities of hydrogen molecule encapsulated in a cage of fullerene C60. %U http://arxiv.org/abs/1206.0421v4