Nodes of eigenfunctions of a~many-particle Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 46-58

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The properties of the node manifolds of the eigenfunctions of the $N$-electron Schrödinger operator are discussed. A connection is established between the symmetry properties of the wave function with respect to permutations of the electrons and the number of regions into which the node manifolds of the wave function divide the $3N$-dimensional Euclidean space.
@article{TMF_1991_88_1_a7,
     author = {E. A. Smolenskii and I. V. Stankevich},
     title = {Nodes of eigenfunctions of a~many-particle {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {46--58},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a7/}
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E. A. Smolenskii; I. V. Stankevich. Nodes of eigenfunctions of a~many-particle Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 46-58. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a7/