Dual Baxter equations and quantization of Affine Jacobian
Smirnov, Feodor A.
HAL, hal-00119176 / Harvested from HAL
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.
Publié le : 2000-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00119176,
     author = {Smirnov, Feodor A.},
     title = {Dual Baxter equations and quantization of Affine Jacobian},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00119176}
}
Smirnov, Feodor A. Dual Baxter equations and quantization of Affine Jacobian. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00119176/