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

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

1994-12-13

arxiv.org/abs/hep-th/9412116v1

Theor.Math.Phys. 104 (1996) 762-776; Teor.Mat.Fiz. 104N1 (1995) 8-24

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, standard LaTeX

Scientific paper

10.1007/BF02066651

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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