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Clusters on a Thin Quadratic Lattice (Transfer Matrix Technique)
Author(s) -
Lieb Elliott H.,
Beyer W. A.
Publication year - 1969
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm196948177
Subject(s) - transfer matrix , lattice (music) , quadratic equation , mathematics , lattice plane , matrix (chemical analysis) , plane (geometry) , mathematical analysis , combinatorics , pure mathematics , physics , geometry , quantum mechanics , materials science , reciprocal lattice , computer science , acoustics , diffraction , composite material , computer vision
Formulae for the distribution of clusters of independently occupied sites on an n × 1, n × 2 and n × 3 quadratic lattice are derived by use of the transfer matrix technique. In principle, the formulae can be extended to an n × r lattice for arbitrary r . Both plane and cylindrical lattices are considered.