Investigation of some soluble lattice spin models | Zendy

Bracken P. | Zendy

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Investigation of some soluble lattice spin models

Author(s) -

Bracken P.

Publication year - 1996

Publication title -

international journal of quantum chemistry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.484

H-Index - 105

eISSN - 1097-461X

pISSN - 0020-7608

DOI - 10.1002/(sici)1097-461x(1996)57:2<235::aid-qua10>3.0.co;2-5

Subject(s) - eigenvalues and eigenvectors , lattice (music) , mathematical proof , statistical physics , mathematics , pure mathematics , mathematical physics , physics , theoretical physics , quantum mechanics , geometry , acoustics

The diagonalization of a class of lattice spin models of a particular structure is first reviewed and secular polynomials for these models are calculated explicitly from the corresponding secular matrices. The structure of the eigenvectors of the given secular matrices is investigated and used to determine the eigenvalues theoretically, and proofs which have not appeared are presented. These results can be compared to the results obtained from the full secular polynomials. © 1996 John Wiley & Sons, Inc.

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