Geodesic
Factorization method and Darboux transformation for multidimensional Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 183-198

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A multidimensional generalization of the factorization and Darboux transformation which makes it possible to find connections between the spectra and eigenfunctions of quantum Hamiltonians is investigated. Multidimensional Hamiltonians whose spectra differ by one discrete level are constructed. 
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     author = {A. A. Andrianov and N. V. Borisov and M. V. Ioffe},
     title = {Factorization method and {Darboux} transformation for multidimensional {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {183--198},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a2/}
}
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A. A. Andrianov; N. V. Borisov; M. V. Ioffe. Factorization method and Darboux transformation for multidimensional Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 2, pp. 183-198. http://geodesic.mathdoc.fr/item/TMF_1984_61_2_a2/