History
Feynman invented the model in the 1940s while developing his spacetime approach to quantum mechanics. He did not publish the result until it appeared in a text on path-integrals coauthored by Albert Hibbs in the mid 1960s. The model was not included with the original path-integral paper because a suitable generalization to a four dimensional spacetime had not been found.
One of the first connections between the amplitudes prescribed by Feynman for the Dirac particle in 1+1 dimensions, and the standard interpretation of amplitudes in terms of the Kernel or propagator, was established by Narlikar in a detailed analysis. The name 'Feynman Chessboard Model' was coined by Gersch when he demonstrated its relationship to the one-dimensional Ising model. Gaveau et al. discovered a relationship between the model and a stochastic model of the Telegraph equations due to Mark Kac through analytic continuation. Jacobson and Schulman examined the passage from the relativistic to the non-relativistic path integral. Subsequently Ord showed that the Chessboard model was embedded in correlations in Kac’s original stochastic model and so had a purely classical context, free of formal analytic continuation. In the same year, Kauffman and Noyesproduced a fully discrete version related to bit-string physics, that has recently been developed into a general approach to discrete physics.
Read more about this topic: Feynman Checkerboard
Famous quotes containing the word history:
“Man watches his history on the screen with apathy and an occasional passing flicker of horror or indignation.”
—Conor Cruise O’Brien (b. 1917)
“He wrote in prison, not a History of the World, like Raleigh, but an American book which I think will live longer than that. I do not know of such words, uttered under such circumstances, and so copiously withal, in Roman or English or any history.”
—Henry David Thoreau (1817–1862)
“... in America ... children are instructed in the virtues of the system they live under, as though history had achieved a happy ending in American civics.”
—Mary McCarthy (1912–1989)