Geodesic
$N=2$ supersymmetric quantum mechanics and the inverse scattering problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 392-398 
V. P. Berezovoi; A. I. Pashnev. $N=2$ supersymmetric quantum mechanics and the inverse scattering problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 392-398. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a5/
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     author = {V. P. Berezovoi and A. I. Pashnev},
     title = {$N=2$ supersymmetric quantum mechanics and the inverse scattering problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {392--398},
     year = {1988},
     volume = {74},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A connection between $N=2$ supersymmetric quantum mechanics and the inverse scattering problem is established. In contrast to $N=1$ supersymmetric quantum mechanics, construction of the isospectral Hamiltonians in the considered approach reveals the possibility of rearrangement of the spectrum, this affecting not only the ground state but also the excited states.

[1] Abraham P. B., Moses H. E., Phys. Rev. A, 22 (1980), 1333–1343 | DOI | MR

[2] Nieto M. M., Phys. Lett., 145B (1984), 201–210 | MR

[3] Sukumar C. V., J. Phys. A: Math. Gen., 18 (1985), 2917–2936 ; 2937–2955 | DOI | MR | MR

[4] Luban M., Pursey D. L., Phys. Rev. D, 33 (1986), 431–435 | DOI | MR

[5] Pursey D. L., Phys. Rev. D, 33 (1986), 1048–1055 | DOI | MR

[6] Berezovoi V. P., Pashnev A. I., TMF, 70:1 (1987), 146–153 | MR

[7] Pashnev A. I., TMF, 69:2 (1986), 311–315 | MR