Geodesic
Supersymmetric quantum mechanics and rearrangement of the spectra of Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 146-153

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A mechanism of rearrangement of Hamiltonians with the change of their discrete spectra is suggested which uses super symmetrical quantum mechanics. Relation of the mechanism and arbitrary constants arising in it to inverse scattering problem is discussed. Transformation group of potentials for which the solutions of Schrödinger equation are connected with the Darboux transformation is studied. 
@article{TMF_1987_70_1_a11,
     author = {V. P. Berezovoi and A. I. Pashnev},
     title = {Supersymmetric quantum mechanics and rearrangement of the spectra of {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {146--153},
     publisher = {mathdoc},
     volume = {70},
     number = {1},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a11/}
}
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V. P. Berezovoi; A. I. Pashnev. Supersymmetric quantum mechanics and rearrangement of the spectra of Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 146-153. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a11/