Shift operator matrices for three-dimensional cubic-cell lattices

R.B. McQuistan and J.L. Hock

Physica A: Statistical Mechanics and its Applications, 1990, vol. 169, issue 3, 342-352

Abstract: We construct the shift operator matrix (SOM) for a system of simple, indistinguishable, nearest-neighbor-interacting particles distributed on a three-dimensional, cubic-cell lattice and show how the eigenvalues of this SOM yield the appropriate partition function. The consequence to the SOM of imposing periodic boundary conditions on the lattice is also explicitly treated.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:169:y:1990:i:3:p:342-352

DOI: 10.1016/0378-4371(90)90106-3

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