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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2001; 38(2): 193-226

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Feynman's operational calculi for time dependent noncommuting operators

Brian Jefferies, G. W. Johnson, and Lance Nielsen

The University of New South Wales, University of Nebraska-Lincoln, Creighton University

Abstract

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We study Feynman's Operational Calculus for operator-valued functions of time and for measures which are not necessarily probability measures; we also permit the presence of certain unbounded operators. Further, we relate the disentangling map defined within to the solutions of evolution equations and, finally, remark on the application of stability results to the present paper.

Keywords: Feynman's operational calculus for time dependent noncommuting operators, disentangling, evolution equations, stability

MSC numbers: Primary:47A56, 47A60, 46J15; Secondary: 47N50, 28A33, 28A25

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