dorsal/arxiv
View SchemaAn Elementary Derivation of the Harmonic Oscillator Propagator
| Authors | L. Moriconi |
|---|---|
| Categories | |
| ArXiv ID | physics/0402069 |
| URL | https://arxiv.org/abs/physics/0402069 |
| DOI | 10.1119/1.1715108 |
| Journal | Am. J. Phys. 72, 1258 (2004). |
Abstract
The harmonic oscillator propagator is found straightforwardly from the free particle propagator, within the imaginary-time Feynman path integral formalism. The derivation presented here is extremely simple, requiring only elementary mathematical manipulations and no clever use of Hermite polynomials, annihilation & creation operators, cumbersome determinant evaluations or any kind of involved algebra.
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"abstract": "The harmonic oscillator propagator is found straightforwardly from the free\nparticle propagator, within the imaginary-time Feynman path integral formalism.\nThe derivation presented here is extremely simple, requiring only elementary\nmathematical manipulations and no clever use of Hermite polynomials,\nannihilation \u0026 creation operators, cumbersome determinant evaluations or any\nkind of involved algebra.",
"arxiv_id": "physics/0402069",
"authors": [
"L. Moriconi"
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"doi": "10.1119/1.1715108",
"journal_ref": "Am. J. Phys. 72, 1258 (2004).",
"title": "An Elementary Derivation of the Harmonic Oscillator Propagator",
"url": "https://arxiv.org/abs/physics/0402069"
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