Feynman's relativistic chessboard as an ising model
- Cite this article as:
- Gersch, H.A. Int J Theor Phys (1981) 20: 491. doi:10.1007/BF00669436
- 164 Downloads
Feynman has described a chessboard model for a one-dimensional relativistic quantum problem which yields the correct kernel for a free spin-1/2 particle moving in one spatial dimension. This chessboard problem can be solved as an Ising model, using the transfer matrix technique of statistical mechanics. The 2×2 transfer matrix represents the infinitesimal time evolution operator for the two eigenstates of the velocity operator.