International Journal of Theoretical Physics

, Volume 20, Issue 7, pp 491–501

Feynman's relativistic chessboard as an ising model

  • H. A. Gersch

DOI: 10.1007/BF00669436

Cite this article as:
Gersch, H.A. Int J Theor Phys (1981) 20: 491. doi:10.1007/BF00669436


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.

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • H. A. Gersch
    • 1
  1. 1.School of PhysicsGeorgia Institute of TechnologyAtlanta

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