sigma09-045. 180KB Jun 04 2011 12:10:26 AM
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For instance, it allows us to characterize the discrete spectrum and the corresponding eigenfunctions of the system by means of (finite/infinite) irreducible unitary
Heun’s equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of ini- tial conditions
The main idea is to consider the Lax pair ( 4 ) as equations for algebraic curves with respect to the unknown variables of the Painlev´e equation.. For the elliptic case,
It is clear that the above three resonance expansions are obtained by analytically continuing the Lippmann–Schwinger bras and kets “from above to below” only if the
In the second section, after a description of the structures at hand and a general presentation of our method of resolution, we solve, in a first step, for the three exceptional cases
mass (PDM) in the Schr¨odinger equation and a deformation of the canonical commutation relations, a method based on deformed shape invariance has recently been devised for genera-
In this paper, we find an explicit formula for the generating function for the number of partitions of [ n ] with exactly k blocks according to the number of peaks (valleys) in terms
The second heavenly equation of Plebanski which determines Riemannian metrics with (anti)- self-dual curvature 2-form implying Ricci-flatness admits bi-Hamiltonian structure.
