sigma07-116. 250KB Jun 04 2011 12:10:10 AM
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The algebraic approach to the solution of the model is presented in Section 3 , in this section the stationary states are expressed through the state vectors of the model and the
We apply the Separation of Variables method to obtain eigenvectors of commu- ting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction..
The objective of the next Section 5 is to introduce a general reduction process leading to a multi-dimensional Toda model with positive and negative flows acting on n × n matrix
In this picture, the Coulomb interaction energy between two charges and their effective images created by the boundary conditions plays the role of the soliton phase shifts,
Then according to the remark in Section 8.2.3, the statement of Theorem 3.8 holds if the tensor product M ( z ) is considered for generic z and generic (not necessarily diagonal)
Since unbounded representation operators are not defined on all elements of the Hilbert space, then we cannot define irreducibility as in the finite dimensional case.. A
Group classification of the three-dimensional equations describing flows of fluids with internal inertia, where the potential function W = W (ρ, ρ), is presented1. The given ˙
In our opinion it is the boundary tridiagonal algebra of the symmetric exclusion process that allows for the exact solvability of the symmetric process in the stationary state and
