sigma09-064. 371KB Jun 04 2011 12:10:29 AM
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In this paper we compute matrix elements for the composition of the type I intertwining operators [5] associated to finite dimensional irreducible representations of U q ( sl 2 )..
We reviewed how our gluing procedure for the poles of the Lax matrix of the Gaudin model can be applied in the quantum case to yield new quantum Gaudin algebras. Also, by means
He obtained a sequence of vector fields L p , ( p being positive or negative integer) acting on the set of functions univalent inside the unit disk.. The full collection is available
It is known, that the moduli space of flat bundles are deformation (the Whitham deformation) of the phase spaces of the Hitchin integrable systems – the moduli spaces of the
In Section 3 we use this set up to prove Theorem 3.1 , which characterizes the boundaries of graphs of harmonic functions using the moment conditions arising from conservation laws..
In the quantum brachistochrone problem, finding the shortest possible time requires only the solution of the two-dimensional problem, namely, finding the optimal time evolution for
In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty.. The spectrum in both the cases are
Moreover, the complex projection of quasianti-Hermitian quaternionic dynamics is considered in Section 4, where the subclass of quasianti-Hermitian quaternionic Hamiltonian
