Geometric Mean of States and Transition Amplitudes

Details Geometric Mean of States and Transition Amplitudes Geometric Mean of States and Transition Amplitudes

2008-01-06

arxiv.org/abs/0801.0858v1

Lett Math Phys, 84(2008), 123--137

Physics

Mathematical Physics

12pages

Scientific paper

10.1007/s11005-008-0238-7

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.

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