Dual Baxter equations and quantization of Affine Jacobian

Details Dual Baxter equations and quantization of Affine Jacobian Dual Baxter equations and quantization of Affine Jacobian

2000-01-21

arxiv.org/abs/math-ph/0001032v1

Physics

Mathematical Physics

27 pages, 2 figures

Scientific paper

10.1088/0305-4470/33/16/323

A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck constant exists such that the eigen-functions of its Hamiltonians coincide with the eigen-functions of Hamiltonians of the original model. We explain that this duality can be considered as duality between homologies and cohomologies of quantized affine hyper-elliptic Jacobian.

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