Geometric Mean of States and Transition Amplitudes
classification
🧮 math-ph
math.MPmath.OA
keywords
transitionamplitudesgeometricmeanstatestheoryamplitudeanalogue
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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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