An elementary derivation of the quantum virial theorem from Hellmann-Feynman theorem
EUROPEAN JOURNAL OF PHYSICS, cilt.37, sa.4, 2016 (SCI-Expanded, Scopus)
- 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.