caa a22 4500 475742192 CHVBK 20180406123502.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/BF02686248 doi (NATIONALLICENCE)springer-10.1007/BF02686248 Ruuge A. M. V. Lomonosov Moscow State University, USSR aut The structure of semiclassical asymptotic expansions of antisymmetric solutions of the stationary Schrödinger equation [Elektronische Daten] [A. Ruuge] We consider the semiclassical asymptotics of eigenfunctions for the Hamiltonian of a quantum-mechanical system ofN identical fermions withd degrees of freedom without spin interaction. In the one-dimensional case (d=1), examples are known in which the ground antisymmetric state in the semiclassical limit is the product ofN(N−1)/2 two-particle wave functions. We construct a nontrivial generalization of this property ford>1. Kluwer Academic/Plenum Publishers, 2000 many-particle Schrödinger equation nationallicence fermion nationallicence ground state nationallicence semiclassical asymptotics nationallicence Mathematical Notes Springer US 67/2(2000-02-01), 207-217 0001-4346 67:2<207 2000 67 11006 https://doi.org/10.1007/BF02686248 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02686248 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ruuge A. M. V. Lomonosov Moscow State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Springer US 67/2(2000-02-01), 207-217 0001-4346 67:2<207 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer