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


İPEKOĞLU Y. , TURGUT S.

EUROPEAN JOURNAL OF PHYSICS, cilt.37, sa.4, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Konu: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1088/0143-0807/37/4/045405
  • Dergi Adı: EUROPEAN JOURNAL OF PHYSICS

Özet

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.