Geometric Mean of States and Transition Amplitudes
Mathematical Physics
2008-08-30 v1 math.MP
Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.0801.0858,
title = {Geometric Mean of States and Transition Amplitudes},
author = {Shigeru Yamagami},
journal= {arXiv preprint arXiv:0801.0858},
year = {2008}
}
Comments
12pages