2013/07/27 by Teimuraz Nadareishvili, Nadareishvili, Teimuraz, Anzor Khelashvili +1
Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1307.7972
15 pages. arXiv admin note: substantial text overlap with arXiv:0907.1824
arxiv created 2013/07/27 · openalex publication_date 2013/07/27 · arxiv updated 2013/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using well-known methods we generalize (hyper)virial theorems to case of singular potential. Discussion is carried on for most general second order differential equation, which involves all physically interesting cases, such as Schrödinger and two-body Klein-Gordon equations with singular potentials. Some physical consequences are discussed. The connection with Feynman-Hellmann like theorems are also considered and some relevant differences are underlined.