Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/182288
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dc.titleGENERALIZED QUANTUM YANG-BAXTER EQUATIONS
dc.contributor.authorKWEK LEONG-CHUAN
dc.date.accessioned2020-10-30T08:15:43Z
dc.date.available2020-10-30T08:15:43Z
dc.date.issued1996
dc.identifier.citationKWEK LEONG-CHUAN (1996). GENERALIZED QUANTUM YANG-BAXTER EQUATIONS. ScholarBank@NUS Repository.
dc.identifier.urihttps://scholarbank.nus.edu.sg/handle/10635/182288
dc.description.abstractThe Quantum Yang-Baxter Equation (QYBE) appears as a master equation in statistical physics and integrable quantum field theory. It first manifests itself as a consistency equation for the Bethe Ansatz solutions of the many-body problem of a free fermion gas with delta function interactions. Many solutions for QYBE have been derived and in the case of two-state spectral-free QYBE, an exhaustive list of solutions has been found through computer algebraic approach. In this thesis, we study QYBE in higher dimensional forms. These equations are sometimes called d-simplex equations. Indeed, the QYBE turns out to be a 2- simplex equation. We suggest a possible labelling scheme for the generalization and contemplate the possible link with the permutation group. In particular, for the 3- simplex equation in which there are two popular versions, namely the Zamolodchikov tetrahedron equation (ZTE) and the Frenkel-Moore equation (FME), we attempt some systematic solutions to these difficult equations.
dc.sourceCCK BATCHLOAD 20201023
dc.typeThesis
dc.contributor.departmentPHYSICS
dc.contributor.supervisorOH CHOO HIAP
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF SCIENCE
Appears in Collections:Master's Theses (Restricted)

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