sigma11-051. 468KB Jun 04 2011 12:10:53 AM
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Key words: extended quantum symmetries; groupoids and algebroids; quantum algebraic topology (QAT); algebraic topology of quantum systems; symmetry breaking, paracrystals,
We establish an equivalence between a scaling limit of the partition function of the six-vertex model on a cylinder with quasi-local operators inserted and special boundary
For this reason we coined the name of “quantum toboggan models” (QTM) for all of the models supported by a topologically nontrivial (i.e., multisheeted) integration curve C along
Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
For a weighted arrangement of affine hyperplanes, we will construct (under certain assumptions) a quantum integrable model, that is, a vector space W with a symmetric bilinear form
The parameter differentiation formulae given in [ 5 ] are derivatives for associated Legendre functions of the first and second kind with respect to the degree, evaluated
The types of anisotropic evaporation coefficient are found for which the evaporation-condensation evolution does or does not have solutions that are analogous to the basic solutions
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4 , ℜ ), whose maximal compact subgroup is the Fourier group U(2) F ; this
