Relating the free particle with the harmonic oscillator

We show that by means of a coordinate transformation in the extended configuration space the problem of a free particle can be related to that of a harmonic oscillator in classical mechanics and in quantum mechanics.

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Publication Details

Journal
Revista Mexicana de Física
Published
2025-05-01
DOI
https://doi.org/10.31349/revmexfis.71.030701
Primary Topic
Experimental and Theoretical Physics Studies
Type
article
Field-Weighted Citation Impact
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article

Relating the free particle with the harmonic oscillator

G. F. Torres del Castillo
Revista Mexicana de Física
Experimental and Theoretical Physics Studies
article

Relating the free particle with the harmonic oscillator

G. F. Torres del Castillo
article en

Abstract

We show that by means of a coordinate transformation in the extended configuration space the problem of a free particle can be related to that of a harmonic oscillator in classical mechanics and in quantum mechanics.

Revista Mexicana de FísicaVol. 71(3 May-Jun)
Benemérita Universidad Autónoma de Puebla (MX)
Openalex Percentile: Top 92%
Experimental and Theoretical Physics Studies
DOIOpen Access PDFOpenAlex
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Relating the free particle with the harmonic oscillator — G. F. Torres del Castillo · Revista Mexicana de Física (2025) | TGRS Research Map | TGRS