Geodesic
Construction of reflectionless potentials with infinite discrete spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 230-247

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

We investigate the one-dimensional Schrödinger operator. The condition that the potential be self-similar under Darboux transformation leads to transparent potentials with infinitely many eigenvalues. 
@article{TMF_1994_100_2_a6,
     author = {A. Degasperis and A. B. Shabat},
     title = {Construction of reflectionless potentials with infinite discrete spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {230--247},
     publisher = {mathdoc},
     volume = {100},
     number = {2},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a6/}
}
TY  - JOUR
AU  - A. Degasperis
AU  - A. B. Shabat
TI  - Construction of reflectionless potentials with infinite discrete spectrum
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 230
EP  - 247
VL  - 100
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a6/
LA  - ru
ID  - TMF_1994_100_2_a6
ER  - 
%0 Journal Article
%A A. Degasperis
%A A. B. Shabat
%T Construction of reflectionless potentials with infinite discrete spectrum
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 230-247
%V 100
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a6/
%G ru
%F TMF_1994_100_2_a6
A. Degasperis; A. B. Shabat. Construction of reflectionless potentials with infinite discrete spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 230-247. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a6/