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math.AP2020
Structures of sets of solutions to the Hartree-Fock equation
Sohei Ashida
The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equatio…
math-ph2020
Finiteness of the number of critical values of the Hartree-Fock energy functional less than a constant smaller than the first energy threshold
Sohei Ashida
We study the Hartree-Fock equation and the Hartree-Fock energy functional universally used in many-electron problems. We prove that the set of all critical values of the Hartree-Fo…