%0 Journal Article
%T Geometric Mean of States and Transition Amplitudes
%A Shigeru Yamagami
%J Mathematics
%D 2008
%I arXiv
%R 10.1007/s11005-008-0238-7
%X The transition amplitude between square roots of states, which is an analogue of Hellinger integral in classical measure theory, is investigated in connection with operator-algebraic representation theory. A variational expression based on geometric mean of positive forms is utilized to obtain an approximation formula for transition amplitudes.
%U http://arxiv.org/abs/0801.0858v1