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arXiv · hep-th/9412116

Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems

A. V. Zabrodin
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Abstract

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.

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A. V. Zabrodin. 1994-12-13. Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems. https://doi.org/10.1007/bf02066651

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