Geodesic
Negative spectrum of the Schr\"odinger operational equation
Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 753-763

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The negative part of the spectrum of Schrödinger's equation with a completely continuous operational potential is studied. Several conditions are obtained for the discreteness and boundedness of the negative spectrum, already known for the scalar and matrix cases. 
@article{MZM_1970_7_6_a11,
     author = {D. R. Yafaev},
     title = {Negative spectrum of the {Schr\"odinger} operational equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {753--763},
     publisher = {mathdoc},
     volume = {7},
     number = {6},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/}
}
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D. R. Yafaev. Negative spectrum of the Schr\"odinger operational equation. Matematičeskie zametki, Tome 7 (1970) no. 6, pp. 753-763. http://geodesic.mathdoc.fr/item/MZM_1970_7_6_a11/