988 resultados para Yang-baxter Algebra


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The 12th and 18th chapters, Gaṇitādhyāya and Kuṭṭakādhyāya, of Brahmagupta's Brahmasiddhānta ; and the first two parts, Līlāvatī and Bījagaṇita, of Bhāskara's Siddhāntaśirḿanṇi.

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Mode of access: Internet.

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Mode of access: Internet.

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Mode of access: Internet.

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Includes bibliography.

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We propose that the Baxter's Q-operator for the quantum XYZ spin chain with open boundary conditions is given by the j -> infinity limit of the corresponding transfer matrix with spin-j (i.e., (2j + I)-dimensional) auxiliary space. The associated T-Q relation is derived from the fusion hierarchy of the model. We use this relation to determine the Bethe Ansatz solution of the eigenvalues of the fundamental transfer matrix. The solution yields the complete spectrum of the Hamiltonian. (c) 2006 Elsevier B.V. All rights reserved.

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