Geodesic
Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 1, pp. 8-24

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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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     author = {A. V. Zabrodin},
     title = {Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {8--24},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a1/}
}
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A. V. Zabrodin. Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 1, pp. 8-24. http://geodesic.mathdoc.fr/item/TMF_1995_104_1_a1/