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https://scholarbank.nus.edu.sg/handle/10635/182288
DC Field | Value | |
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dc.title | GENERALIZED QUANTUM YANG-BAXTER EQUATIONS | |
dc.contributor.author | KWEK LEONG-CHUAN | |
dc.date.accessioned | 2020-10-30T08:15:43Z | |
dc.date.available | 2020-10-30T08:15:43Z | |
dc.date.issued | 1996 | |
dc.identifier.citation | KWEK LEONG-CHUAN (1996). GENERALIZED QUANTUM YANG-BAXTER EQUATIONS. ScholarBank@NUS Repository. | |
dc.identifier.uri | https://scholarbank.nus.edu.sg/handle/10635/182288 | |
dc.description.abstract | The 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.source | CCK BATCHLOAD 20201023 | |
dc.type | Thesis | |
dc.contributor.department | PHYSICS | |
dc.contributor.supervisor | OH CHOO HIAP | |
dc.description.degree | Master's | |
dc.description.degreeconferred | MASTER OF SCIENCE | |
Appears in Collections: | Master's Theses (Restricted) |
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