Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
高能物理 - 理论
2014-11-18 v1
摘要
We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method. The quasi-exactly solvable hamiltonians in one dimension are identified with traces of quantum monodromy matrices for specific integrable systems with non-periodic boundary conditions. Applications to the Azbel-Hofstadter problem are outlined.
引用
@article{arxiv.hep-th/9412116,
title = {Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems},
author = {A. V. Zabrodin},
journal= {arXiv preprint arXiv:hep-th/9412116},
year = {2014}
}
备注
15 pages, standard LaTeX