Geodesic
Relationship between a quasipotential equation and a Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 394-402 
M. A. Braun. Relationship between a quasipotential equation and a Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 394-402. http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a6/
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     title = {Relationship between a~quasipotential equation and {a~Schr\"odinger} equation},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the quasipotential equation can be transformed into Schrödinger equation by means of a linear non-unitary transformation of the wave function. The usual orthonormality conditions for wave functions and cluster properties of the potential are preserved by this transformation.

[1] Logunov A. A., Tavkhelidze A. N., Nuovo Cim., 29 (1963), 380 | DOI | MR

[2] Faustov R. N., Nucl. Phys., 75 (1966), 669 | DOI

[3] Braun M. A., Gurchumeliya A. D., Safronova U. I., Relyativistskaya teoriya atoma, Nauka, M., 1984

[4] Braun M. A., TMF, 59:3 (1984), 388–399

[5] Labzovskii L. N., ZhETF, 85 (1983), 869