FIRST DERIVATION OF THE HELLMANN-FEYNMAN FORMULAS

GÜTTINGER, PAUL.

Das Verhalten von Atomen im magnetischen Drehfeld.

Berlin, Springer, 1932. 8vo. In contemporary halv cloth with gilt lettering to spine. In "Zeitschrift für Physik", Bd. 73, 1932. Entire issue offered. Stamp to front free end-paper and titlepage, Extremities with light wear. Pp. 169-84. [Entire volume: VII, (1), 846 pp.].


First appearance of Paul Güttinger's important paper which constitute the first derivation of the Hellmann-Feynman formulas.
In quantum mechanics, the Hellmann-Feynman theorem relates the derivative of the total energy with respect to a parameter, to the expectation value of the derivative of the Hamiltonian with respect to that same parameter. According to the theorem, once the spatial distribution of the electrons has been determined by solving the Schrödinger equation, all the forces in the system can be calculated using classical electrostatics.

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