

Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 18, 2015 14:00, Moscow, Steklov Mathematical Institute of RAS, Room 404 (8 Gubkina)






Quantum inverse scattering problem for models with $GL(N)$invariant $R$matrix
N. A. Slavnov^{} 
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Abstract:
We consider quantum models solvable by the algebraic Bethe ansatz.
Physical states of such the models are polynomials in the entries of the
quantum monodromy matrix acting on a vacuum vector. The quantum monodromy
matrix is a nonlocal operator, and hence, the physical states also are
nonlocal. We develop a method to calculate matrix elements
of local operators in the basis of the physical states. It turns out that
they are expressed in terms of the form factors of the monodromy matrix.
Thus, we solve the quantum inverse scattering problem in a weak sense.

