Transfer-matrix method

In statistical mechanics, the transfer-matrix method is a mathematical technique which is used to write the partition function into a simpler form. It was introduced in 1941 by Hans Kramers and Gregory Wannier.[1][2] In many one dimensional lattice models, the partition function is first written as an n-fold summation over each possible microstate, and also contains an additional summation of each component's contribution to the energy of the system within each microstate.

  1. ^ Kramers, H. A.; Wannier, G. H. (1941). "Statistics of the Two-Dimensional Ferromagnet. Part I". Physical Review. 60 (3): 252–262. Bibcode:1941PhRv...60..252K. doi:10.1103/PhysRev.60.252. ISSN 0031-899X.
  2. ^ Kramers, H. A.; Wannier, G. H. (1941). "Statistics of the Two-Dimensional Ferromagnet. Part II". Physical Review. 60 (3): 263–276. Bibcode:1941PhRv...60..263K. doi:10.1103/PhysRev.60.263. ISSN 0031-899X.