The quantization of energy in the harmonic-oscillator potential: Power series solution

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dc.creatorSise, Omer
dc.date2005-11-28
dc.date2005-11-30
dc.date.accessioned2026-07-07T06:52:30Z
dc.date.available2026-07-07T06:52:30Z
dc.descriptionWe write a computer program that uses the recursion relation to calculate wave function in the harmonic-oscillator potential for specified values of E/hv (with its deviation 0.001) containing only even numbers of v (0,2,4,...). In this work, differential equations are solved by power series methods, i.e. the Schrodinger equation stationary state wavefunction of the harmonic-oscillator. This technique is applied to obtain the wavefunction of the quantum harmonic oscillator and is at a more sophisticated level than elsewhere in the course of quantum physics. For the able student this can be a worthwhile extension to the work on the harmonic-oscillator.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/physics/0511240
dc.identifierhttp://arxiv.org/abs/physics/0511240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105322
dc.subjectPhysics Education
dc.subjectComputational Physics
dc.titleThe quantization of energy in the harmonic-oscillator potential: Power series solution
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