2012/01/20 by Jérôme Estève, J. G. Esteve, Fernando Falceto +2
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Generalization #Geometry #Mathematical analysis #Mathematical economics #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Physics #Point (geometry) #Quantum chaos and dynamical systems #Quantum mechanics #Term (time) #Theoretical physics #Virial theorem #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.85.022104
6 pages, 2 figures; to appear in Phys. Rev. A
arxiv created 2012/01/20 · openalex publication_date 2012/02/03 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that, under certain boundary conditions, the virial theorem has to be modified. We analyze the origin of the extra term and compute it for particular examples. The Coulomb and harmonic oscillator with the point interaction have been studied in light of this generalization of the virial theorem.