The general Hellmann-Feynman theorem (derivative of energy with respect to a parameter = expectation value of derivative of Hamiltonian) is proved for theories in which the electron density is determined by making the energy functional stationary. Some simple applications are given.
Goodisman, Jerry, "Hellmann-Feynman Theorem in Thomas-Fermi and Related Theories" (1970). Chemistry Faculty Scholarship. 4.
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