A Convergence Theorem for Feynman's Operational Calculus : The case ofTime dependent noncommuting operators
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Feynman's operational calculus for noncommuting op- erators was studied via measures on the time interval. We investi- gate that if a sequence of p-tuples of measures converges to another p-tuple of measures, then the corresponding sequence of operational calculi in the time dependent setting converges to the operational calculus determined by the limiting p-tuple of measures.
Abstract
Feynman's operational calculus for noncommuting op- erators was studied via measures on the time interval. We investi- gate that if a sequence of p-tuples of measures converges to another p-tuple of measures, then the corresponding sequence of operational calculi in the time dependent setting converges to the operational calculus determined by the limiting p-tuple of measures.
참고문헌 (9)
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- "The Feynman integral and Feynman opera-tional calculus" (2000), Oxford U. Press
- "A stability theorem for Feynman's operational calculi", 29, pp.351~365 (2000)
