An elementary derivation of the quantum virial theorem from Hellmann-Feynman theorem

A simple proof of the quantum virial theorem that can be used in undergraduate courses is given. The proof proceeds by first showing that the energy eigenvalues of a Hamiltonian remain invariant under a scale transformation. Then invoking the Hellmann-Feynman theorem produces the final statement of the virial theorem.


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Citation Formats
Y. İpekoğlu and S. Turgut, “An elementary derivation of the quantum virial theorem from Hellmann-Feynman theorem,” EUROPEAN JOURNAL OF PHYSICS, pp. 0–0, 2016, Accessed: 00, 2020. [Online]. Available: