dorsal/arxiv
View SchemaThe quantization of energy in the harmonic-oscillator potential: Power series solution
| Authors | Omer Sise |
|---|---|
| Categories | |
| ArXiv ID | physics/0511240 |
| URL | https://arxiv.org/abs/physics/0511240 |
Abstract
We 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.
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"date_created": "2026-03-02T18:01:04.052000Z",
"date_modified": "2026-03-02T18:01:04.052000Z",
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"abstract": "We write a computer program that uses the recursion relation to calculate\nwave function in the harmonic-oscillator potential for specified values of E/hv\n(with its deviation 0.001) containing only even numbers of v (0,2,4,...). In\nthis work, differential equations are solved by power series methods, i.e. the\nSchrodinger equation stationary state wavefunction of the harmonic-oscillator.\nThis technique is applied to obtain the wavefunction of the quantum harmonic\noscillator and is at a more sophisticated level than elsewhere in the course of\nquantum physics. For the able student this can be a worthwhile extension to the\nwork on the harmonic-oscillator.",
"arxiv_id": "physics/0511240",
"authors": [
"Omer Sise"
],
"categories": [
"physics.ed-ph",
"physics.comp-ph"
],
"title": "The quantization of energy in the harmonic-oscillator potential: Power series solution",
"url": "https://arxiv.org/abs/physics/0511240"
},
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"variant": "snapshot-2026-03-01",
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