Clusters on a Thin Quadratic Lattice (Transfer Matrix Technique) | Zendy

Lieb Elliott H. | Zendy; Beyer W. A. | Zendy

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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.

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