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The hypervirial relations for radial problems with l = 0
Institution:1. Dept. de Matemáticas, UAM–Iztapalapa, Ciudad de México, Iztapalapa 09340, México;2. Dept. Informàtica Matemàtica Aplicada i Estadística, Universitat de Girona, Girona, Spain;3. Dept. Matemàtiques Universitat Politècnica de Catalunya, Barcelona, Av Diagonal 647, 08028, Spain
Abstract:A method of obtaining the hypervirial theorem relations for matrix elements in the radial l = 0 case is presented. The importance of the rotational energy term has been demonstrated. The new relation between the diagonal and nondiagonal matrix elements is given. The triply degenerate three-dimensional harmonic oscillator and the hydrogen-like atom are considered as examples.
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