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.
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References
Feynman, R.P. and Hibbs, A.R.: Quantum Mechanics and Path Integrals. New York: McGraw-Hill 1965: pp. 34–6.
Jacobson, T. and Schulman, L.S.: J. Phys. A17, 375–84 (1984).
Jacobson, T.: J. Phys. A17, 2433–51 (1984).
Bers, L., John, F. and Schechter, M.: Partial Differential Equations; Lectures in Applied Mathematics, v.3A.J. Wiley 1964, American Mathematical Society 1974.
Jacobson, T.: Submitted to Comm. Math. Phys.
Apostol, T.M.: Calculus, v.l. Lexington, MA: Xerox 1967.
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© 1985 Springer-Verlag
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Jacobson, T. (1985). Feynman's checkerboard and other games. In: Sanchez, N. (eds) Non-Linear Equations in Classical and Quantum Field Theory. Lecture Notes in Physics, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15213-X_88
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DOI: https://doi.org/10.1007/3-540-15213-X_88
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