Shift operator matrices for three-dimensional cubic-cell lattices

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.

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Year of publication:	1990
Authors:	McQuistan, R.B. ; Hock, J.L.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 169.1990, 3, p. 342-352
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010873635