Structure of Matrix Elements in Quantum Toda Chain

Details Structure of Matrix Elements in Quantum Toda Chain Structure of Matrix Elements in Quantum Toda Chain

1998-05-12

arxiv.org/abs/math-ph/9805011v1

Physics

Mathematical Physics

LaTeX, 17 pages

Scientific paper

10.1088/0305-4470/31/44/019

We consider the quantum Toda chain using the method of separation of variables. We show that the matrix elements of operators in the model are written in terms of finite number of ``deformed Abelian integrals''. The properties of these integrals are discussed. We explain that these properties are necessary in order to provide the correct number of independent operators. The comparison with the classical theory is done.

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