Stability Properties of Feynman's Operational Calculus for Exponential Functions of Noncommuting Operators |
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Authors: | Lance Nielsen |
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Affiliation: | (1) Department of Mathematics and Computer Science, Creighton University, Omaha, NE, 68176, U.S.A. |
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Abstract: | Stability properties of Feynman's operational calculus are addressed in the setting of exponential functions of noncommuting operators. Applications of some of the stability results are presented. In particular, the time-dependent perturbation theory of nonrelativistic quantum mechanics is presented in the setting of the operational calculus and application of the stability results of this paper to the perturbation theory are discussed. |
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Keywords: | stability Feynman's operational calculus path integral perturbation series |
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