Geodesic
On the perturbation of the quasilevels of a Schrödinger operator with complex potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 252-263 
T. M. Gataullin; M. V. Karasev. On the perturbation of the quasilevels of a Schrödinger operator with complex potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 9 (1971) no. 2, pp. 252-263. http://geodesic.mathdoc.fr/item/TMF_1971_9_2_a6/
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     author = {T. M. Gataullin and M. V. Karasev},
     title = {On the perturbation of the quasilevels of {a~Schr\"odinger} operator with complex potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concepts of energy levels and quasi-levels are defined in a unique way for three-dimensional Schrödinger operator with complex finite potential. The behaviour of quasi-levels in the case of analytical perturbation of potential is studied. For the first correction of the perturbation theory the analogue of the secular equation is obtained.

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