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.
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Yamagami, S. Geometric Mean of States and Transition Amplitudes. Lett Math Phys 84, 123–137 (2008). https://doi.org/10.1007/s11005-008-0238-7
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DOI: https://doi.org/10.1007/s11005-008-0238-7