Please use this identifier to cite or link to this item:
https://dspace.ncfu.ru/handle/20.500.12258/6792
Title: | EIGENVALUES OF THE TRANSFER MATRIX OF THE THREE-DIMENSIONAL ISING MODEL IN THE PARTICULAR CASE n = m=2 |
Authors: | Ratner, I. M. Ратнер, И. М. |
Keywords: | Eigenvector;Eigenvalue;Partition function;Three-dimensional Ising model;Spin;Transfer matrix;Symmetry |
Issue Date: | 2019 |
Publisher: | MAIK NAUKA/INTERPERIODICA/SPRINGER |
Citation: | Ratner, IM. EIGENVALUES OF THE TRANSFER MATRIX OF THE THREE-DIMENSIONAL ISING MODEL IN THE PARTICULAR CASE n = m=2 // THEORETICAL AND MATHEMATICAL PHYSICS. - 2019. - Том: 199. - Выпуск: 3. - Стр.: 909-921 |
Series/Report no.: | THEORETICAL AND MATHEMATICAL PHYSICS |
Abstract: | The 16th-order transfer matrix of the three-dimensional Ising model in the particular case n = m = 2 (n x m is number of spins in a layer) is specified by the interaction parameters of three basis vectors. The matrix eigenvectors are divided into two classes, even and odd. Using the symmetry of the eigenvectors, we find their corresponding eigenvalues in general form. Eight of the sixteen eigenvalues related to odd eigenvectors are found from quadratic equations. Four eigenvalues related to even eigenvectors are found from a fourth-degree equation with symmetric coefficients. Each of the remaining four eigenvalues is equal to unity |
URI: | http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=20&SID=E6dqguUgfdLewqmFUqR&page=1&doc=1 http://hdl.handle.net/20.500.12258/6792 |
Appears in Collections: | Статьи, проиндексированные в SCOPUS, WOS |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
WoS 641 .pdf Restricted Access | 449.26 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.