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arXiv · 0801.0858

Geometric Mean of States and Transition Amplitudes

Shigeru Yamagami
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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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Shigeru Yamagami. 2008-01-06. Geometric Mean of States and Transition Amplitudes. https://doi.org/10.1007/s11005-008-0238-7

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