On the point spectrum in the quantum-mechanical many-body problem
Izvestiya. Mathematics , Tome 10 (1976) no. 4, pp. 861-896
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The paper gives a complete formulation and proof of a number of assertions regarding the point spectrum of the Schrödinger operator of a many-particle system announced earlier by the author. In particular, conditions that the discrete spectrum of this operator be finite are obtained. The results of the work are applicable to certain specific quantum systems, for example, to univalent negative atomic ions and to diatomic molecules.
Bibliography: 20 titles.
@article{IM2_1976_10_4_a11,
author = {D. R. Yafaev},
title = {On the point spectrum in the quantum-mechanical many-body problem},
journal = {Izvestiya. Mathematics },
pages = {861--896},
publisher = {mathdoc},
volume = {10},
number = {4},
year = {1976},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a11/}
}
D. R. Yafaev. On the point spectrum in the quantum-mechanical many-body problem. Izvestiya. Mathematics , Tome 10 (1976) no. 4, pp. 861-896. http://geodesic.mathdoc.fr/item/IM2_1976_10_4_a11/