A CLASS OF THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Ahn, Byung-Moo (Department of Mathematics Soonchunhyang University )
  • 발행 : 1997.08.01

초록

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

키워드

참고문헌

  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