FEYNMAN′S OPERATIONAL CALCULI FOR TIME DEPENDENT NONCOMMUTING OPERATORS

  • Brian Jefferies (School of Mathematics, The University of New South Wales)
  • Published : 2001.03.01

Abstract

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 the solutions of evolution equations and, finally, remark on the application of stability results to the present paper.

Keywords

References

  1. Convergence of Probability P.Billingsly
  2. Acta Applic. Math v.47 Fetnman's operational calculus and evilution equations B.Defacio;G.W. Johnson;M.L. Lapidus
  3. Stochastic Processes: A festschrift in Honour of Gopinath Kallianpur Feynman's operational calculus as a generalized path integral B.DeFacio;G.W.Johnson;M.L.Lapidus;S.Cambanis(eds)(et al)
  4. prepatation Feynman's operational calculi for noncommuting systems of operators B.Jefferies;G.W.Johnson
  5. Oxford Mathematical Monographs The Feynman intergral and Feynman's operational calculus G.W.Johnson;M.L.Lapidus
  6. Mem.Amer.Math.Soc v.62 Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus G.W.Johnson;M.L.Lapidus
  7. Lett.Math.Phys. v.11 The differential equation for the Feynman-Kac formula with a Lebesgue-Stieltjes measure M.L.Lapidus
  8. Strd.Appl.Math v.76 The Feynman-Kac formula with Levesgue-Stieltjes measure and Feynman's operational calculus M.L.Lapidus
  9. Stability properties for Feynman's operational caculus L.Nielsen
  10. Expronentials of noncommuting properties for Feynman's operational calculus J.T.Reyes