Abstract
Theorems are stated and proved that allow one to determine the saddle points of energy functionals for excited states and to select the particular saddle point that provides a improvable upper bound to the characteristic eigenvalue of the Hamiltonian. A general minimax approach, based on the proved theorems, is proposed for calculating the excited states of many-electron systems having lower-lying states of the same symmetry.
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Additional information
Tomsk Pedagogical Institute. V. V. Kuibyshev Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 35–41, November, 1992.
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Zelichenko, V.M., Koryukina, E.V. A minimax approach in the theory of the excited states of many-electron systems. Russ Phys J 35, 1023–1028 (1992). https://doi.org/10.1007/BF00559097
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DOI: https://doi.org/10.1007/BF00559097