Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials

2009/07/10 by T. Nadareishvili, Nadareishvili, T., Anzor Khelashvili +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #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.0907.1824

14 pages

openalex publication_date 2009/07/10 · arxiv created 2009/11/19 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using well-known methods we generalize (hyper)virial theorems to case of singular potential. Discussion is performed for most general second order differential equation, which involves all physically interesting cases, as Schrodinger and 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.

Citations

• Some Problems of Self-Adjoint Extension in the Schrodinger equation

Cited by

• Pragmatic SAE procedure in the Schrodinger equation for the inverse-square-like potentials
• Generalization of the hypervirial and Feynman-Hellman theorems

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