Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

A CLASS OF THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Ahn, Byung-Moo (Department of Mathematics Soonchunhyang University )
  • Published : 1997.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

We investigate the existence of the operator-valued Feynman integral when a Wiener functional is given by a Fourier transform of complex Borel measure.

Keywords

References

  1. J. Math. Mech. v.18 An operator valued function space integral and a related integral equations R. H. Cameron;D. A. Stovick
  2. Amer. Math. Soc. Colloq., Providence, Amer. Math. Soc.(rev.ed) v.XXXI Functional analysis and Semigroups E. Hille;R. S. Phillips
  3. Rev. Modern Phys. v.20 Space-time approach to non-relativistic quantum mechanics R. P. Feynman
  4. Phys. Rev. v.84 An operator calculus having applications in quantum electrodynamics R. P. Feynman
  5. Mem.Amer.Math. Soc. v.62 Generalized Dyson Series, generalized Feynman diagrams, Feynman integral, and Feynman’s operational calculus G. W. Johnson;M. L. Lapidus
  6. Methods of Modern Mathematical Physics(Rev. and enl. ed.) M. Reed;B. Simon
  7. Functional Analysis W. Rudin