Structure of Matrix Elements in Quantum Toda Chain
Mathematical Physics
2009-10-31 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/9805011,
title = {Structure of Matrix Elements in Quantum Toda Chain},
author = {F. A. Smirnov},
journal= {arXiv preprint arXiv:math-ph/9805011},
year = {2009}
}
Comments
LaTeX, 17 pages