sigma07-013. 265KB Jun 04 2011 12:09:58 AM
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We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic?. We find that the finite-size
But the effective theory ( 3.3 ) shows a second order transition from the symmetric to a antiferromagnetic phase and we can compare critical exponents at this transition with those
We describe a num- ber of relationships between the vacuum Verma module of a Virasoro algebra and the Deligne exceptional series of Lie algebras and also some exceptional finite
In middle 1990’s Vadim Kuznetsov and Evgeny Sklyanin started to work on applications of the Separation of Variables (SoV) method to symmetric polynomials.. When I read their papers
The purpose of this note is to highlight some results concerning algebraically integrable systems for which a separation of variables of the whole phase space in terms of
In Section 4 , devoted to the orthogonal separation, we improve the analysis given in [11] and we show the links between eigenvalues of Killing tensors and proper or
There are basically three important families of polynomials associated with the root system of type A, namely, the Jack type polynomials, the Laguerre polynomials, and the MP
The article discusses how the self-adjoint domains can be identified in terms of a boundary condition for the asymptotic behaviour of the wave functions around the singularity, and
