Geodesic
A modification of Crum's method
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 323-330 
V. E. Adler. A modification of Crum's method. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 323-330. http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a0/
@article{TMF_1994_101_3_a0,
     author = {V. E. Adler},
     title = {A~modification of {Crum's} method},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--330},
     year = {1994},
     volume = {101},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a0/}
}
TY  - JOUR
AU  - V. E. Adler
TI  - A modification of Crum's method
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 323
EP  - 330
VL  - 101
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a0/
LA  - ru
ID  - TMF_1994_101_3_a0
ER  - 
%0 Journal Article
%A V. E. Adler
%T A modification of Crum's method
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 323-330
%V 101
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a0/
%G ru
%F TMF_1994_101_3_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

A generalization of Crum's method is proposed that makes it possible to construct new examples of Sturm–Liouville operators with spectrum that can be exactly calculated.

[1] Crum M. M., Quart. J. Math. Oxford (2), 6 (1955), 121–127 | DOI | MR

[2] Darboux G., C. R. Acad. Sci. Paris, 94 (1882), 1456

[3] Flyugge Z., Zadachi po kvantovoi mekhanike, t. 1, Mir, M., 1974

[4] Dubov S. Yu., Eleonskii V. M., Kulagin N. E., ZhETF, 102:9 (1992), 814–826 | MR

[5] Infeld L., Hull T. E., Rev. Mod. Phys., 23:1 (1951), 21–68 | DOI | MR | Zbl

[6] Veselov A. P., Shabat A. B., Funkts. analiz i ego prilozh., 27:2 (1993), 1–21 | MR | Zbl

[7] Adler V. E., Funkts. analiz i ego prilozh., 27:2 (1993), 79–82 | MR | Zbl