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Quantum Science Philippines

Three Dimensional Virial Theorem for the Hydrogen Atom

Saturday, March 20th, 2010

Catherine Therese J. Quiñones The virial theorem is a general theorem relating the potential energy (V) and the kinetic energy (T) in a bound system.  A simple physical example is a small object orbiting around another object  bound by a force as in the case of a hydrogen atom. The average kinetic energy and potential […]

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Radial Wavefunction of a Hydrogen Atom

Tuesday, February 16th, 2010

Gibson T. Maglasang and John Paul Aseniero In this article, we outlined the necessary steps in calculating the radial wavefunctions [eq]R_{nl}[/eq] for the Hydrogen atom. Thus, the radial wavefunctions particularly [eq]R_{30 [/eq], [eq]R_{31 [/eq] and [eq]R_{32 [/eq] are easily obtained  without bothering to normalize it. We use the formula below to find the wavefunction, [eq]R_{nl}=\frac{1}{r}\rho^{l+1}e^{-\rho}\nu(\rho),[/eq] […]

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