Geodesic
“Eigenfunctions” of the nonstationary Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 228-239 
D. R. Yafaev. “Eigenfunctions” of the nonstationary Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 228-239. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a5/
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     author = {D. R. Yafaev},
     title = {{\textquotedblleft}Eigenfunctions{\textquotedblright} of~the nonstationary {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1980},
     volume = {43},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Two one-dimensional particles are considered with the interaction which is described by means of time-dependent boundary condition in the corresponding Schrödinger equation. The asymptotics of the wave function of this problem at large times is investigated. The existence of states which are similar to bound states for stationary hamiltonians is established.

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