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:
“Bias, point of view, fury—are they ... so dangerous and must they be ironed out of history, the hills flattened and the contours leveled? The professors talk ... about passion and point of view in history as a Calvinist talks about sin in the bedroom.”
—Catherine Drinker Bowen (1897–1973)
“No matter how vital experience might be while you lived it, no sooner was it ended and dead than it became as lifeless as the piles of dry dust in a school history book.”
—Ellen Glasgow (1874–1945)
“Racism is an ism to which everyone in the world today is exposed; for or against, we must take sides. And the history of the future will differ according to the decision which we make.”
—Ruth Benedict (1887–1948)