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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)

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  5. B. Jefferies, "Feynman’s operational calculi for noncommuting operators: Spectral theory", Infinite Dimensional Anal. Quantum Probab, 5, pp.171~199 (2002)
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  7. B. Jefferies, "Feynman’s operational calculi for time dependent noncommuting operators", J. Korean Math. Soc, 38, pp.193~226 (2001)
  8. G. W. Johnson, "The Feynman Integral and Feynman Operational Calculus" (2000), Oxford U. Press
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  10. ANESTOC2002), "Blending instantaneous and continuous phenomena in Feynman’s operational calculi, Stochastic Analysis and Mathematical Physics (SAMP", pp.2004, G. W. Johnson
  11. V. P. Maslov, "Operational Mathod", Mir Moscow (1976)
  12. V. E. Shatalov, "Methods of Noncommutative Analysis" (1996), Walter de Gruyter
  13. L. Nielsen, "Stability properties for Feynman’s operational calculus in the combined continuous", discrete Setting, 2005, pp.88, 47~79
  14. M. Reed, "Methods of Modern Mathematical Physics. Vol. I, Functional Analysis. Rev. and end" (1980), Academic Press

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