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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1088/0143-0807/37/4/045405
  • Dergi Adı: EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: quantum virial theorem, Hellmann-Feynman theorem, scale transformation, FORCES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.