### Abstract

It is shown how the monomer-dimer problem can be formulated in terms of a transfer matrix, and hence in terms of simple spin operators as was originally done for the Ising problem. Thus, we rederive the solution to the pure dimer problem without using Pfaffians. The solution is extremely simple once one sees how to formulate the transfer matrix.

Original language | English (US) |
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Pages (from-to) | 2339-2341 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 8 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1967 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Lieb, E. H. (1967). Solution of the dimer problem by the transfer matrix method.

*Journal of Mathematical Physics*,*8*(12), 2339-2341. https://doi.org/10.1063/1.1705163