Multiparameter Statistical Models from N2×N2 Braid Matrices : Explicit Eigenvalues of Transfer Matrices T(r), Spin Chains, Factorizable Scatterings for All N
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-29
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
For a class of multiparameter statistical models based on N2×N2 braid matrices, the eigenvalues of the transfer matrix T(r) are obtained explicitly for all (r,N).
Our formalism yields them as solutions of sets of linear equations with simple constant coefficients.
The role of zero-sum multiplets constituted in terms of roots of unity is pointed out, and their origin is traced to circular permutations of the indices in the tensor products of basis states induced by our class of T(r) matrices.
The role of free parameters, increasing as N2 with N, is emphasized throughout.
Spin chain Hamiltonians are constructed and studied for all N.
Inverse Cayley transforms of the Yang-Baxter matrices corresponding to our braid matrices are obtained for all N.
They provide potentials for factorizable S-matrices.
Main results are summarized, and perspectives are indicated in the concluding remarks.
American Psychological Association (APA)
Abdesselam, B.& Chakrabarti, A.. 2012. Multiparameter Statistical Models from N2×N2 Braid Matrices : Explicit Eigenvalues of Transfer Matrices T(r), Spin Chains, Factorizable Scatterings for All N. Advances in Mathematical Physics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-453399
Modern Language Association (MLA)
Abdesselam, B.& Chakrabarti, A.. Multiparameter Statistical Models from N2×N2 Braid Matrices : Explicit Eigenvalues of Transfer Matrices T(r), Spin Chains, Factorizable Scatterings for All N. Advances in Mathematical Physics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-453399
American Medical Association (AMA)
Abdesselam, B.& Chakrabarti, A.. Multiparameter Statistical Models from N2×N2 Braid Matrices : Explicit Eigenvalues of Transfer Matrices T(r), Spin Chains, Factorizable Scatterings for All N. Advances in Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-453399
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453399