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Blending instantaneous and continuous phenomena in Feynman's operational calculi: The case of time dependent noncommuting operators
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Feynman’s operational calculus for noncommuting operatorswas studied via measures on the time interval. We investigate some prop-erties of Feynman’s operational calculi which include a variety of blendsof discrete and continuous measures in the time dependent setting.
Abstract
Feynman’s operational calculus for noncommuting operatorswas studied via measures on the time interval. We investigate some prop-erties of Feynman’s operational calculi which include a variety of blendsof discrete and continuous measures in the time dependent setting.
참고문헌 (14)
- P. Billingsley, "Convergence of Probability Measures" (1968), Wiley
- R. Feynman, "An operator calculus having application in quantum electrodynamics", Phys. Rev, 84, pp.108~128 (1951)
- B. Jefferies, "Feynman’s operational calculi for noncommuting operators: Definitions and elementary properties", Russian J. Math. Phys, 8, pp.153~178 (2001)
- B. Jefferies, "Feynman’s operational calculi for noncommuting systems of operators: Tensors, ordered supports and disentangling an exponential factor", Math. Notes, 70, pp.744~764 (2001)
- B. Jefferies, "Feynman’s operational calculi for noncommuting operators: Spectral theory", Infinite Dimensional Anal. Quantum Probab, 5, pp.171~199 (2002)
- B. Jefferies, "Feynman’s operational calculi for noncommuting operators: The monogenic calculus", Adv. Appl. Clifford Algebra, 11, pp.233~265 (2002)
- B. Jefferies, "Feynman’s operational calculi for time dependent noncommuting operators", J. Korean Math. Soc, 38, pp.193~226 (2001)
- G. W. Johnson, "The Feynman Integral and Feynman Operational Calculus" (2000), Oxford U. Press
- G. W. Johnson, "Generalized Dyson series, generalized Feynman diagrams, The Feynman integral and Feynman’s operational calculus", Mem. Amer. Math. Soc, 62, pp.1~78 (1986)
- ANESTOC2002), "Blending instantaneous and continuous phenomena in Feynman’s operational calculi, Stochastic Analysis and Mathematical Physics (SAMP", pp.2004, G. W. Johnson
- V. P. Maslov, "Operational Mathod", Mir Moscow (1976)
- V. E. Shatalov, "Methods of Noncommutative Analysis" (1996), Walter de Gruyter
- L. Nielsen, "Stability properties for Feynman’s operational calculus in the combined continuous", discrete Setting, 2005, pp.88, 47~79
- M. Reed, "Methods of Modern Mathematical Physics. Vol. I, Functional Analysis. Rev. and end" (1980), Academic Press
관련 논문AI추천
A Convergence Theorem for Feynman's Operational Calculus : The case ofTime dependent noncommuting operators이춘호, Byung Moo Ahn대한수학회 · 대한수학회논문집2004 · 제19권 제4호Extracting Linear factors in Feynman's Operational Calculi : The case of time dependent noncommuting operators안병무대한수학회 · 대한수학회보2004 · 제41권 제3호The operational calculus for a measure-valued Dyson series류근식대한수학회 · 대한수학회지2006 · 제43권 제4호Existence theorems and evaluation formulas for sequential Yeh-Feynman integrals김병수, 김영희강원경기수학회 · 한국수학논문집2024 · 제32권 제4호A Banach algebra of series of functions over paths권모아, 조동현강원경기수학회 · 한국수학논문집2019 · 제27권 제2호Convergence theorems in measures for the operator-valued Feynman integralByung Moo Ahn대한수학회 · 대한수학회논문집2002 · 제17권 제1호
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