SPATIAL EIGENFUNCTIONS OF THE SPIN-INDEPENDENT MANY-ELECTRON HAMILTONIAN

J. Musher

The symmetry properties of the spatial eigenfunctions of the spin-independent many-electron Hamiltonian are examined and their eigenvalues and degeneracies are discussed along with eigenvalues of the corresponding physical wave functions. Detailed examples are given, mostly for the three-electron problem, with certain properties of the level structure of a given configuration and the ordering of such levels generalized to the many-electron problem. The use of nonsymmetric perturbation theoretic procedures for calculating the spatial eigenfunctions is discussed and the potential utility of such procedures is considered.

Domaines: Articles anciens

J. Musher. SPATIAL EIGENFUNCTIONS OF THE SPIN-INDEPENDENT MANY-ELECTRON HAMILTONIAN. Journal de Physique Colloques, 1970, 31 (C4), pp.C4-51-C4-67. ⟨10.1051/jphyscol:1970409⟩. ⟨jpa-00213864⟩