Feynman's checkerboard and other games

  • T. Jacobson
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 226)

Abstract

Feynman's checkerboard path integral for the retarded Dirac propagator in 1+1 dimensions is derived and extensions to 3+1 dimensions are developed. Methods for obtaining the Feynman propagator (rather than the retarded propagator) are briefly discussed.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Feynman, R.P. and Hibbs, A.R.: Quantum Mechanics and Path Integrals. New York: McGraw-Hill 1965: pp. 34–6.Google Scholar
  2. 2.
    Jacobson, T. and Schulman, L.S.: J. Phys. A17, 375–84 (1984).Google Scholar
  3. 3.
    Jacobson, T.: J. Phys. A17, 2433–51 (1984).Google Scholar
  4. 4.
    Bers, L., John, F. and Schechter, M.: Partial Differential Equations; Lectures in Applied Mathematics, v.3A.J. Wiley 1964, American Mathematical Society 1974.Google Scholar
  5. 5.
    Jacobson, T.: Submitted to Comm. Math. Phys.Google Scholar
  6. 6.
    Apostol, T.M.: Calculus, v.l. Lexington, MA: Xerox 1967.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • T. Jacobson
    • 1
  1. 1.Department of PhysicsUniversity of CaliforniaSanta BarbaraUSA

Personalised recommendations